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Finding the Fourth Proportional to 220.98, 331.56 and 76.71

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Solution

The fourth proportional to 220.98, 331.56 and 76.71 is: 115.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.98 : 331.56 = 76.71 : x
  2. Step 2: Convert to fraction form
    220.98/331.56 = 76.71/x
  3. Step 3: Cross multiply
    220.98x = 331.56 × 76.71
  4. Step 4: Simplify right side
    220.98x = 25,433.97
  5. Step 5: Solve for x
    x = 25,433.97/220.98
  6. Step 6: Final answer
    x = 115.10

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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.