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Finding the Fourth Proportional to 251.96, 378.17 and 130.31

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Solution

The fourth proportional to 251.96, 378.17 and 130.31 is: 195.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.96 : 378.17 = 130.31 : x
  2. Step 2: Convert to fraction form
    251.96/378.17 = 130.31/x
  3. Step 3: Cross multiply
    251.96x = 378.17 × 130.31
  4. Step 4: Simplify right side
    251.96x = 49,278.70
  5. Step 5: Solve for x
    x = 49,278.70/251.96
  6. Step 6: Final answer
    x = 195.58

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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.