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Finding the Fourth Proportional to 217.75, 326.17 and 109.31

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Solution

The fourth proportional to 217.75, 326.17 and 109.31 is: 163.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.75 : 326.17 = 109.31 : x
  2. Step 2: Convert to fraction form
    217.75/326.17 = 109.31/x
  3. Step 3: Cross multiply
    217.75x = 326.17 × 109.31
  4. Step 4: Simplify right side
    217.75x = 35,653.64
  5. Step 5: Solve for x
    x = 35,653.64/217.75
  6. Step 6: Final answer
    x = 163.74

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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.