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Finding the Fourth Proportional to 331.61, 456.58 and 281.71

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Solution

The fourth proportional to 331.61, 456.58 and 281.71 is: 387.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.61 : 456.58 = 281.71 : x
  2. Step 2: Convert to fraction form
    331.61/456.58 = 281.71/x
  3. Step 3: Cross multiply
    331.61x = 456.58 × 281.71
  4. Step 4: Simplify right side
    331.61x = 128,622.49
  5. Step 5: Solve for x
    x = 128,622.49/331.61
  6. Step 6: Final answer
    x = 387.88

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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.