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Finding the Fourth Proportional to 422.94, 635.01 and 217.66

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Solution

The fourth proportional to 422.94, 635.01 and 217.66 is: 326.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.94 : 635.01 = 217.66 : x
  2. Step 2: Convert to fraction form
    422.94/635.01 = 217.66/x
  3. Step 3: Cross multiply
    422.94x = 635.01 × 217.66
  4. Step 4: Simplify right side
    422.94x = 138,216.28
  5. Step 5: Solve for x
    x = 138,216.28/422.94
  6. Step 6: Final answer
    x = 326.80

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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.