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Finding the Fourth Proportional to 391.92, 540.75 and 234.57

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Solution

The fourth proportional to 391.92, 540.75 and 234.57 is: 323.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.92 : 540.75 = 234.57 : x
  2. Step 2: Convert to fraction form
    391.92/540.75 = 234.57/x
  3. Step 3: Cross multiply
    391.92x = 540.75 × 234.57
  4. Step 4: Simplify right side
    391.92x = 126,843.73
  5. Step 5: Solve for x
    x = 126,843.73/391.92
  6. Step 6: Final answer
    x = 323.65

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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.