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Finding the Fourth Proportional to 542.46, 748.31 and 321.02

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Solution

The fourth proportional to 542.46, 748.31 and 321.02 is: 442.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.46 : 748.31 = 321.02 : x
  2. Step 2: Convert to fraction form
    542.46/748.31 = 321.02/x
  3. Step 3: Cross multiply
    542.46x = 748.31 × 321.02
  4. Step 4: Simplify right side
    542.46x = 240,217.13
  5. Step 5: Solve for x
    x = 240,217.13/542.46
  6. Step 6: Final answer
    x = 442.83

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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.