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Finding the Fourth Proportional to 254.62, 349.11 and 252.19

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Solution

The fourth proportional to 254.62, 349.11 and 252.19 is: 345.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.62 : 349.11 = 252.19 : x
  2. Step 2: Convert to fraction form
    254.62/349.11 = 252.19/x
  3. Step 3: Cross multiply
    254.62x = 349.11 × 252.19
  4. Step 4: Simplify right side
    254.62x = 88,042.05
  5. Step 5: Solve for x
    x = 88,042.05/254.62
  6. Step 6: Final answer
    x = 345.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.