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Finding the Fourth Proportional to 447.14, 616.82 and 281.04

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Solution

The fourth proportional to 447.14, 616.82 and 281.04 is: 387.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.14 : 616.82 = 281.04 : x
  2. Step 2: Convert to fraction form
    447.14/616.82 = 281.04/x
  3. Step 3: Cross multiply
    447.14x = 616.82 × 281.04
  4. Step 4: Simplify right side
    447.14x = 173,351.09
  5. Step 5: Solve for x
    x = 173,351.09/447.14
  6. Step 6: Final answer
    x = 387.69

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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.