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Finding the Fourth Proportional to 438.14, 657.32 and 129.99

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Solution

The fourth proportional to 438.14, 657.32 and 129.99 is: 195.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.14 : 657.32 = 129.99 : x
  2. Step 2: Convert to fraction form
    438.14/657.32 = 129.99/x
  3. Step 3: Cross multiply
    438.14x = 657.32 × 129.99
  4. Step 4: Simplify right side
    438.14x = 85,444.38
  5. Step 5: Solve for x
    x = 85,444.38/438.14
  6. Step 6: Final answer
    x = 195.02

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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.