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Finding the Fourth Proportional to 252.97, 349.11 and 142.45

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Solution

The fourth proportional to 252.97, 349.11 and 142.45 is: 196.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.97 : 349.11 = 142.45 : x
  2. Step 2: Convert to fraction form
    252.97/349.11 = 142.45/x
  3. Step 3: Cross multiply
    252.97x = 349.11 × 142.45
  4. Step 4: Simplify right side
    252.97x = 49,729.85
  5. Step 5: Solve for x
    x = 49,729.85/252.97
  6. Step 6: Final answer
    x = 196.59

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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.