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Finding the Fourth Proportional to 252.73, 381.12 and 251.11

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Solution

The fourth proportional to 252.73, 381.12 and 251.11 is: 378.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.73 : 381.12 = 251.11 : x
  2. Step 2: Convert to fraction form
    252.73/381.12 = 251.11/x
  3. Step 3: Cross multiply
    252.73x = 381.12 × 251.11
  4. Step 4: Simplify right side
    252.73x = 95,703.04
  5. Step 5: Solve for x
    x = 95,703.04/252.73
  6. Step 6: Final answer
    x = 378.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.