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Finding the Fourth Proportional to 232.46, 349.43 and 187.31

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Solution

The fourth proportional to 232.46, 349.43 and 187.31 is: 281.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.46 : 349.43 = 187.31 : x
  2. Step 2: Convert to fraction form
    232.46/349.43 = 187.31/x
  3. Step 3: Cross multiply
    232.46x = 349.43 × 187.31
  4. Step 4: Simplify right side
    232.46x = 65,449.05
  5. Step 5: Solve for x
    x = 65,449.05/232.46
  6. Step 6: Final answer
    x = 281.56

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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.