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Finding the Fourth Proportional to 542, 747.68 and 320.92

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Solution

The fourth proportional to 542, 747.68 and 320.92 is: 442.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    542 : 747.68 = 320.92 : x
  2. Step 2: Convert to fraction form
    542/747.68 = 320.92/x
  3. Step 3: Cross multiply
    542x = 747.68 × 320.92
  4. Step 4: Simplify right side
    542x = 239,945.47
  5. Step 5: Solve for x
    x = 239,945.47/542
  6. Step 6: Final answer
    x = 442.70

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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.