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Finding the Fourth Proportional to 252.61, 379.02 and 130.96

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Solution

The fourth proportional to 252.61, 379.02 and 130.96 is: 196.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.61 : 379.02 = 130.96 : x
  2. Step 2: Convert to fraction form
    252.61/379.02 = 130.96/x
  3. Step 3: Cross multiply
    252.61x = 379.02 × 130.96
  4. Step 4: Simplify right side
    252.61x = 49,634.56
  5. Step 5: Solve for x
    x = 49,634.56/252.61
  6. Step 6: Final answer
    x = 196.49

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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.