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Finding the Fourth Proportional to 391.97, 540.92 and 217.31

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Solution

The fourth proportional to 391.97, 540.92 and 217.31 is: 299.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.97 : 540.92 = 217.31 : x
  2. Step 2: Convert to fraction form
    391.97/540.92 = 217.31/x
  3. Step 3: Cross multiply
    391.97x = 540.92 × 217.31
  4. Step 4: Simplify right side
    391.97x = 117,549.22
  5. Step 5: Solve for x
    x = 117,549.22/391.97
  6. Step 6: Final answer
    x = 299.89

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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.