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Finding the Fourth Proportional to 332.72, 457.92 and 291.38

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Solution

The fourth proportional to 332.72, 457.92 and 291.38 is: 401.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.72 : 457.92 = 291.38 : x
  2. Step 2: Convert to fraction form
    332.72/457.92 = 291.38/x
  3. Step 3: Cross multiply
    332.72x = 457.92 × 291.38
  4. Step 4: Simplify right side
    332.72x = 133,428.73
  5. Step 5: Solve for x
    x = 133,428.73/332.72
  6. Step 6: Final answer
    x = 401.02

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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.