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Finding the Fourth Proportional to 232.85, 347.92 and 224.78

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Solution

The fourth proportional to 232.85, 347.92 and 224.78 is: 335.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.85 : 347.92 = 224.78 : x
  2. Step 2: Convert to fraction form
    232.85/347.92 = 224.78/x
  3. Step 3: Cross multiply
    232.85x = 347.92 × 224.78
  4. Step 4: Simplify right side
    232.85x = 78,205.77
  5. Step 5: Solve for x
    x = 78,205.77/232.85
  6. Step 6: Final answer
    x = 335.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.