ToolsTen
RGBA to HEXHEX to RGBARGBA to HSLAHSLA to RGBAHEX to HSLHSL to HEXRGBA to HSVHSV to RGBAHEX to HSVHSV to HEXHSL to HSVHSV to HSL
Image Color PickerCSS GradientShades and TintsColor BlenderColor Schema
Image ResizerImage CompressorImage CropperCircle Crop Image
Text to MarkdownMarkdown to Text / HTMLImage to TextRemove Line BreaksRemove Empty LinesWord CounterLine CounterFilter LinesRepeat TextFind and ReplaceCase ConverterRemove Duplicate Lines
Reverse ListList RandomizerSort ListText to List
Word to PDFPDF to WordImage to PDF
Cash CalculatorAge CalculatorArea CalculatorPercentage CalculatorSingle Rule of Three
ToolsTen

Copyright © 2026 - All rights reserved

AboutPrivacy PolicyTerms of UseContact

Single Rule of Three Calculator

Solve direct proportion problems in seconds. Enter three known values to calculate the missing fourth value, with a simple formula and step-by-step explanation.

Calculate Your Result

Enter the three values you already know.

Direct proportion formula

X=B × CA

Multiply the second and third values, then divide by the first value.

The starting quantity.

The quantity corresponding to A.

The new quantity to compare.

Your proportion

First pair

4:20

Second pair

6:30

Your Result

The missing value of X appears here.

Calculated value (X)

30

Calculation complete
1

Write the formula

X = (B × C) ÷ A

2

Substitute the values

X = (20 × 6) ÷ 4

3

Multiply the values

X = 120 ÷ 4

4

Divide to find X

X = 30

What does it mean?

If 4 corresponds to 20, then 6 corresponds to 30 under the same direct proportion.

What Is the Rule of Three?

The rule of three is a mathematical method for finding an unknown value when three related values are known. It is useful for solving proportion problems involving prices, quantities, distances, recipes, and many other everyday calculations.

The direct rule of three applies when two quantities change in the same direction at a constant ratio. For example, if buying more items increases the total cost proportionally, you can use this method to estimate the cost of any quantity.

How to Use the Calculator

  1. 1.Enter the first known value in the A field.
  2. 2.Enter the corresponding value in the B field.
  3. 3.Enter the new quantity in the C field.
  4. 4.Read the calculated value of X and review the steps.

Frequently Asked Questions

What is the formula for the direct rule of three?

The formula is X = (B × C) ÷ A. Multiply the second known value by the third known value, then divide the product by the first known value.

When should I use the direct rule of three?

Use it when two quantities have a constant direct relationship. For example, if the price of an item stays the same, buying twice as many items costs twice as much.

Can I calculate with decimal numbers?

Yes. The calculator supports decimal values, making it suitable for measurements, prices, weights, distances, and other proportional calculations.

Is the direct rule of three the same as the inverse rule of three?

No. Direct proportion means both quantities increase or decrease together at a constant ratio. Inverse proportion means one quantity increases as the other decreases, such as the time required to complete a fixed task when the number of equally productive workers changes.

Can the result be zero?

Yes. If the second or third value is zero, the calculated result is zero. The first value cannot be zero because the formula requires division by that value.