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Finding the Fourth Proportional to 281.97, 422.89 and 76.53

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Solution

The fourth proportional to 281.97, 422.89 and 76.53 is: 114.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.97 : 422.89 = 76.53 : x
  2. Step 2: Convert to fraction form
    281.97/422.89 = 76.53/x
  3. Step 3: Cross multiply
    281.97x = 422.89 × 76.53
  4. Step 4: Simplify right side
    281.97x = 32,363.77
  5. Step 5: Solve for x
    x = 32,363.77/281.97
  6. Step 6: Final answer
    x = 114.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.