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Finding the Fourth Proportional to 232.87, 321.71 and 180.55

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Solution

The fourth proportional to 232.87, 321.71 and 180.55 is: 249.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.87 : 321.71 = 180.55 : x
  2. Step 2: Convert to fraction form
    232.87/321.71 = 180.55/x
  3. Step 3: Cross multiply
    232.87x = 321.71 × 180.55
  4. Step 4: Simplify right side
    232.87x = 58,083.84
  5. Step 5: Solve for x
    x = 58,083.84/232.87
  6. Step 6: Final answer
    x = 249.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.