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Finding the Fourth Proportional to 285.92, 426.98 and 249.44

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Solution

The fourth proportional to 285.92, 426.98 and 249.44 is: 372.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.92 : 426.98 = 249.44 : x
  2. Step 2: Convert to fraction form
    285.92/426.98 = 249.44/x
  3. Step 3: Cross multiply
    285.92x = 426.98 × 249.44
  4. Step 4: Simplify right side
    285.92x = 106,505.89
  5. Step 5: Solve for x
    x = 106,505.89/285.92
  6. Step 6: Final answer
    x = 372.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.