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Finding the Fourth Proportional to 232.62, 321.09 and 159.31

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Solution

The fourth proportional to 232.62, 321.09 and 159.31 is: 219.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.62 : 321.09 = 159.31 : x
  2. Step 2: Convert to fraction form
    232.62/321.09 = 159.31/x
  3. Step 3: Cross multiply
    232.62x = 321.09 × 159.31
  4. Step 4: Simplify right side
    232.62x = 51,152.85
  5. Step 5: Solve for x
    x = 51,152.85/232.62
  6. Step 6: Final answer
    x = 219.90

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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.