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Finding the Fourth Proportional to 363.30, 542.07 and 337.49

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Solution

The fourth proportional to 363.30, 542.07 and 337.49 is: 503.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.30 : 542.07 = 337.49 : x
  2. Step 2: Convert to fraction form
    363.30/542.07 = 337.49/x
  3. Step 3: Cross multiply
    363.30x = 542.07 × 337.49
  4. Step 4: Simplify right side
    363.30x = 182,943.29
  5. Step 5: Solve for x
    x = 182,943.29/363.30
  6. Step 6: Final answer
    x = 503.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.