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Finding the Fourth Proportional to 542.17, 748.20 and 329.42

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Solution

The fourth proportional to 542.17, 748.20 and 329.42 is: 454.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.17 : 748.20 = 329.42 : x
  2. Step 2: Convert to fraction form
    542.17/748.20 = 329.42/x
  3. Step 3: Cross multiply
    542.17x = 748.20 × 329.42
  4. Step 4: Simplify right side
    542.17x = 246,475.15
  5. Step 5: Solve for x
    x = 246,475.15/542.17
  6. Step 6: Final answer
    x = 454.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.