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Finding the Fourth Proportional to 252.76, 378.82 and 130.72

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Solution

The fourth proportional to 252.76, 378.82 and 130.72 is: 195.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.76 : 378.82 = 130.72 : x
  2. Step 2: Convert to fraction form
    252.76/378.82 = 130.72/x
  3. Step 3: Cross multiply
    252.76x = 378.82 × 130.72
  4. Step 4: Simplify right side
    252.76x = 49,519.35
  5. Step 5: Solve for x
    x = 49,519.35/252.76
  6. Step 6: Final answer
    x = 195.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.