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Finding the Fourth Proportional to 254.26, 353.08 and 251.86

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Solution

The fourth proportional to 254.26, 353.08 and 251.86 is: 349.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.26 : 353.08 = 251.86 : x
  2. Step 2: Convert to fraction form
    254.26/353.08 = 251.86/x
  3. Step 3: Cross multiply
    254.26x = 353.08 × 251.86
  4. Step 4: Simplify right side
    254.26x = 88,926.73
  5. Step 5: Solve for x
    x = 88,926.73/254.26
  6. Step 6: Final answer
    x = 349.75

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.