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Finding the Fourth Proportional to 397.25, 548.37 and 249.85

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Solution

The fourth proportional to 397.25, 548.37 and 249.85 is: 344.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.25 : 548.37 = 249.85 : x
  2. Step 2: Convert to fraction form
    397.25/548.37 = 249.85/x
  3. Step 3: Cross multiply
    397.25x = 548.37 × 249.85
  4. Step 4: Simplify right side
    397.25x = 137,010.24
  5. Step 5: Solve for x
    x = 137,010.24/397.25
  6. Step 6: Final answer
    x = 344.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.