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Finding the Fourth Proportional to 422.62, 634.31 and 217.33

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Solution

The fourth proportional to 422.62, 634.31 and 217.33 is: 326.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.62 : 634.31 = 217.33 : x
  2. Step 2: Convert to fraction form
    422.62/634.31 = 217.33/x
  3. Step 3: Cross multiply
    422.62x = 634.31 × 217.33
  4. Step 4: Simplify right side
    422.62x = 137,852.73
  5. Step 5: Solve for x
    x = 137,852.73/422.62
  6. Step 6: Final answer
    x = 326.19

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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.