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Finding the Fourth Proportional to 865.98, 1,299.14 and 249.69

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Solution

The fourth proportional to 865.98, 1,299.14 and 249.69 is: 374.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.98 : 1,299.14 = 249.69 : x
  2. Step 2: Convert to fraction form
    865.98/1,299.14 = 249.69/x
  3. Step 3: Cross multiply
    865.98x = 1,299.14 × 249.69
  4. Step 4: Simplify right side
    865.98x = 324,382.27
  5. Step 5: Solve for x
    x = 324,382.27/865.98
  6. Step 6: Final answer
    x = 374.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.