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Finding the Fourth Proportional to 232.79, 348.96 and 78.62

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Solution

The fourth proportional to 232.79, 348.96 and 78.62 is: 117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.79 : 348.96 = 78.62 : x
  2. Step 2: Convert to fraction form
    232.79/348.96 = 78.62/x
  3. Step 3: Cross multiply
    232.79x = 348.96 × 78.62
  4. Step 4: Simplify right side
    232.79x = 27,435.24
  5. Step 5: Solve for x
    x = 27,435.24/232.79
  6. Step 6: Final answer
    x = 117.85

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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.