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Finding the Fourth Proportional to 253.97, 351.16 and 249.85

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Solution

The fourth proportional to 253.97, 351.16 and 249.85 is: 345.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.97 : 351.16 = 249.85 : x
  2. Step 2: Convert to fraction form
    253.97/351.16 = 249.85/x
  3. Step 3: Cross multiply
    253.97x = 351.16 × 249.85
  4. Step 4: Simplify right side
    253.97x = 87,735.57
  5. Step 5: Solve for x
    x = 87,735.57/253.97
  6. Step 6: Final answer
    x = 345.46

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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.