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Finding the Fourth Proportional to 282, 422.48 and 254.96

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Solution

The fourth proportional to 282, 422.48 and 254.96 is: 381.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    282 : 422.48 = 254.96 : x
  2. Step 2: Convert to fraction form
    282/422.48 = 254.96/x
  3. Step 3: Cross multiply
    282x = 422.48 × 254.96
  4. Step 4: Simplify right side
    282x = 107,715.50
  5. Step 5: Solve for x
    x = 107,715.50/282
  6. Step 6: Final answer
    x = 381.97

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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.