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Finding the Fourth Proportional to 422.77, 634.19 and 217.21

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Solution

The fourth proportional to 422.77, 634.19 and 217.21 is: 325.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.77 : 634.19 = 217.21 : x
  2. Step 2: Convert to fraction form
    422.77/634.19 = 217.21/x
  3. Step 3: Cross multiply
    422.77x = 634.19 × 217.21
  4. Step 4: Simplify right side
    422.77x = 137,752.41
  5. Step 5: Solve for x
    x = 137,752.41/422.77
  6. Step 6: Final answer
    x = 325.83

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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.