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Finding the Fourth Proportional to 254.30, 352.42 and 249.44

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Solution

The fourth proportional to 254.30, 352.42 and 249.44 is: 345.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.30 : 352.42 = 249.44 : x
  2. Step 2: Convert to fraction form
    254.30/352.42 = 249.44/x
  3. Step 3: Cross multiply
    254.30x = 352.42 × 249.44
  4. Step 4: Simplify right side
    254.30x = 87,906.40
  5. Step 5: Solve for x
    x = 87,906.40/254.30
  6. Step 6: Final answer
    x = 345.68

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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.