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Finding the Fourth Proportional to 232.20, 349.94 and 221.22

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Solution

The fourth proportional to 232.20, 349.94 and 221.22 is: 333.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.20 : 349.94 = 221.22 : x
  2. Step 2: Convert to fraction form
    232.20/349.94 = 221.22/x
  3. Step 3: Cross multiply
    232.20x = 349.94 × 221.22
  4. Step 4: Simplify right side
    232.20x = 77,414.28
  5. Step 5: Solve for x
    x = 77,414.28/232.20
  6. Step 6: Final answer
    x = 333.39

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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.