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Finding the Fourth Proportional to 232.37, 348.69 and 129.74

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Solution

The fourth proportional to 232.37, 348.69 and 129.74 is: 194.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.37 : 348.69 = 129.74 : x
  2. Step 2: Convert to fraction form
    232.37/348.69 = 129.74/x
  3. Step 3: Cross multiply
    232.37x = 348.69 × 129.74
  4. Step 4: Simplify right side
    232.37x = 45,239.04
  5. Step 5: Solve for x
    x = 45,239.04/232.37
  6. Step 6: Final answer
    x = 194.69

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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.