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Finding the Fourth Proportional to 252.60, 378.74 and 115.46

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Solution

The fourth proportional to 252.60, 378.74 and 115.46 is: 173.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.60 : 378.74 = 115.46 : x
  2. Step 2: Convert to fraction form
    252.60/378.74 = 115.46/x
  3. Step 3: Cross multiply
    252.60x = 378.74 × 115.46
  4. Step 4: Simplify right side
    252.60x = 43,726.85
  5. Step 5: Solve for x
    x = 43,726.85/252.60
  6. Step 6: Final answer
    x = 173.11

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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.