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Finding the Fourth Proportional to 252.57, 379.06 and 130.87

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Solution

The fourth proportional to 252.57, 379.06 and 130.87 is: 196.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.57 : 379.06 = 130.87 : x
  2. Step 2: Convert to fraction form
    252.57/379.06 = 130.87/x
  3. Step 3: Cross multiply
    252.57x = 379.06 × 130.87
  4. Step 4: Simplify right side
    252.57x = 49,605.69
  5. Step 5: Solve for x
    x = 49,605.69/252.57
  6. Step 6: Final answer
    x = 196.40

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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.