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Finding the Fourth Proportional to 232.13, 348.29 and 108.79

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Solution

The fourth proportional to 232.13, 348.29 and 108.79 is: 163.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.13 : 348.29 = 108.79 : x
  2. Step 2: Convert to fraction form
    232.13/348.29 = 108.79/x
  3. Step 3: Cross multiply
    232.13x = 348.29 × 108.79
  4. Step 4: Simplify right side
    232.13x = 37,890.47
  5. Step 5: Solve for x
    x = 37,890.47/232.13
  6. Step 6: Final answer
    x = 163.23

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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.