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Finding the Fourth Proportional to 252.32, 378.33 and 115.39

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Solution

The fourth proportional to 252.32, 378.33 and 115.39 is: 173.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.32 : 378.33 = 115.39 : x
  2. Step 2: Convert to fraction form
    252.32/378.33 = 115.39/x
  3. Step 3: Cross multiply
    252.32x = 378.33 × 115.39
  4. Step 4: Simplify right side
    252.32x = 43,654.55
  5. Step 5: Solve for x
    x = 43,654.55/252.32
  6. Step 6: Final answer
    x = 173.02

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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.