Home / 364-402

Finding the Third Proportional to 364 and 402

Calculator

Solution

The third proportional to 364 and 402 is: 443.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    364 : 402 = 402 : x
  2. Step 2: Convert to fraction form
    364/402 = 402/x
  3. Step 3: Cross multiply
    364x = 402 × 402
  4. Step 4: Simplify right side
    364x = 161,604
  5. Step 5: Solve for x
    x = 161,604/364
  6. Step 6: Final answer
    x = 443.97

Related Problems

Find third proportional to 182 and 201
Half scale
Find third proportional to 728 and 804
Double scale
Find third proportional to 366 and 404
Similar ratio
Find third proportional to 546 and 603
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.