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Finding the Fourth Proportional to 299.52, 447.42 and 250.92

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Solution

The fourth proportional to 299.52, 447.42 and 250.92 is: 374.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.52 : 447.42 = 250.92 : x
  2. Step 2: Convert to fraction form
    299.52/447.42 = 250.92/x
  3. Step 3: Cross multiply
    299.52x = 447.42 × 250.92
  4. Step 4: Simplify right side
    299.52x = 112,266.63
  5. Step 5: Solve for x
    x = 112,266.63/299.52
  6. Step 6: Final answer
    x = 374.82

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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.