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Finding the Fourth Proportional to 252.69, 379.13 and 130.87

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Solution

The fourth proportional to 252.69, 379.13 and 130.87 is: 196.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.69 : 379.13 = 130.87 : x
  2. Step 2: Convert to fraction form
    252.69/379.13 = 130.87/x
  3. Step 3: Cross multiply
    252.69x = 379.13 × 130.87
  4. Step 4: Simplify right side
    252.69x = 49,616.74
  5. Step 5: Solve for x
    x = 49,616.74/252.69
  6. Step 6: Final answer
    x = 196.35

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