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Finding the Fourth Proportional to 252.91, 378.86 and 115.77

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Solution

The fourth proportional to 252.91, 378.86 and 115.77 is: 173.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.91 : 378.86 = 115.77 : x
  2. Step 2: Convert to fraction form
    252.91/378.86 = 115.77/x
  3. Step 3: Cross multiply
    252.91x = 378.86 × 115.77
  4. Step 4: Simplify right side
    252.91x = 43,860.62
  5. Step 5: Solve for x
    x = 43,860.62/252.91
  6. Step 6: Final answer
    x = 173.42

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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.