Home / 438.11-657.14-164.20

Finding the Fourth Proportional to 438.11, 657.14 and 164.20

Calculator

Solution

The fourth proportional to 438.11, 657.14 and 164.20 is: 246.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.11 : 657.14 = 164.20 : x
  2. Step 2: Convert to fraction form
    438.11/657.14 = 164.20/x
  3. Step 3: Cross multiply
    438.11x = 657.14 × 164.20
  4. Step 4: Simplify right side
    438.11x = 107,902.39
  5. Step 5: Solve for x
    x = 107,902.39/438.11
  6. Step 6: Final answer
    x = 246.29

Related Problems

Find fourth proportional to 219.06, 328.57 and 82.10
Half scale
Find fourth proportional to 876.22, 1,314.28 and 328.40
Double scale
Find fourth proportional to 439.11, 658.64 and 165.20
Similar ratio
Find fourth proportional to 657.17, 985.71 and 246.30
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.