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Finding the Fourth Proportional to 282.44, 422.82 and 217.70

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Solution

The fourth proportional to 282.44, 422.82 and 217.70 is: 325.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.44 : 422.82 = 217.70 : x
  2. Step 2: Convert to fraction form
    282.44/422.82 = 217.70/x
  3. Step 3: Cross multiply
    282.44x = 422.82 × 217.70
  4. Step 4: Simplify right side
    282.44x = 92,047.91
  5. Step 5: Solve for x
    x = 92,047.91/282.44
  6. Step 6: Final answer
    x = 325.90

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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.