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Finding the Fourth Proportional to 447.62, 617.54 and 281.76

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Solution

The fourth proportional to 447.62, 617.54 and 281.76 is: 388.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.62 : 617.54 = 281.76 : x
  2. Step 2: Convert to fraction form
    447.62/617.54 = 281.76/x
  3. Step 3: Cross multiply
    447.62x = 617.54 × 281.76
  4. Step 4: Simplify right side
    447.62x = 173,996.66
  5. Step 5: Solve for x
    x = 173,996.66/447.62
  6. Step 6: Final answer
    x = 388.72

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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.