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Finding the Fourth Proportional to 252.96, 349.12 and 142.41

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Solution

The fourth proportional to 252.96, 349.12 and 142.41 is: 196.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.96 : 349.12 = 142.41 : x
  2. Step 2: Convert to fraction form
    252.96/349.12 = 142.41/x
  3. Step 3: Cross multiply
    252.96x = 349.12 × 142.41
  4. Step 4: Simplify right side
    252.96x = 49,719.67
  5. Step 5: Solve for x
    x = 49,719.67/252.96
  6. Step 6: Final answer
    x = 196.55

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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.