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Finding the Fourth Proportional to 232.38, 348.74 and 171.68

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Solution

The fourth proportional to 232.38, 348.74 and 171.68 is: 257.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.38 : 348.74 = 171.68 : x
  2. Step 2: Convert to fraction form
    232.38/348.74 = 171.68/x
  3. Step 3: Cross multiply
    232.38x = 348.74 × 171.68
  4. Step 4: Simplify right side
    232.38x = 59,869.08
  5. Step 5: Solve for x
    x = 59,869.08/232.38
  6. Step 6: Final answer
    x = 257.63

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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.