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Finding the Fourth Proportional to 398.92, 542.92 and 392.44

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Solution

The fourth proportional to 398.92, 542.92 and 392.44 is: 534.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.92 : 542.92 = 392.44 : x
  2. Step 2: Convert to fraction form
    398.92/542.92 = 392.44/x
  3. Step 3: Cross multiply
    398.92x = 542.92 × 392.44
  4. Step 4: Simplify right side
    398.92x = 213,063.52
  5. Step 5: Solve for x
    x = 213,063.52/398.92
  6. Step 6: Final answer
    x = 534.10

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.