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Finding the Fourth Proportional to 252.77, 348.78 and 142.24

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Solution

The fourth proportional to 252.77, 348.78 and 142.24 is: 196.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.77 : 348.78 = 142.24 : x
  2. Step 2: Convert to fraction form
    252.77/348.78 = 142.24/x
  3. Step 3: Cross multiply
    252.77x = 348.78 × 142.24
  4. Step 4: Simplify right side
    252.77x = 49,608.72
  5. Step 5: Solve for x
    x = 49,608.72/252.77
  6. Step 6: Final answer
    x = 196.26

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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.