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Finding the Fourth Proportional to 220.41, 331.92 and 159.97

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Solution

The fourth proportional to 220.41, 331.92 and 159.97 is: 240.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.41 : 331.92 = 159.97 : x
  2. Step 2: Convert to fraction form
    220.41/331.92 = 159.97/x
  3. Step 3: Cross multiply
    220.41x = 331.92 × 159.97
  4. Step 4: Simplify right side
    220.41x = 53,097.24
  5. Step 5: Solve for x
    x = 53,097.24/220.41
  6. Step 6: Final answer
    x = 240.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.