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Finding the Fourth Proportional to 363.98, 542.92 and 306.56

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Solution

The fourth proportional to 363.98, 542.92 and 306.56 is: 457.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.98 : 542.92 = 306.56 : x
  2. Step 2: Convert to fraction form
    363.98/542.92 = 306.56/x
  3. Step 3: Cross multiply
    363.98x = 542.92 × 306.56
  4. Step 4: Simplify right side
    363.98x = 166,437.56
  5. Step 5: Solve for x
    x = 166,437.56/363.98
  6. Step 6: Final answer
    x = 457.27

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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.