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Finding the Fourth Proportional to 220.97, 331.50 and 76.70

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Solution

The fourth proportional to 220.97, 331.50 and 76.70 is: 115.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.97 : 331.50 = 76.70 : x
  2. Step 2: Convert to fraction form
    220.97/331.50 = 76.70/x
  3. Step 3: Cross multiply
    220.97x = 331.50 × 76.70
  4. Step 4: Simplify right side
    220.97x = 25,424.39
  5. Step 5: Solve for x
    x = 25,424.39/220.97
  6. Step 6: Final answer
    x = 115.06

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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.