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Finding the Fourth Proportional to 253.12, 349.33 and 142.61

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Solution

The fourth proportional to 253.12, 349.33 and 142.61 is: 196.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.12 : 349.33 = 142.61 : x
  2. Step 2: Convert to fraction form
    253.12/349.33 = 142.61/x
  3. Step 3: Cross multiply
    253.12x = 349.33 × 142.61
  4. Step 4: Simplify right side
    253.12x = 49,817.95
  5. Step 5: Solve for x
    x = 49,817.95/253.12
  6. Step 6: Final answer
    x = 196.82

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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.