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Finding the Fourth Proportional to 217.89, 326.97 and 144.88

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Solution

The fourth proportional to 217.89, 326.97 and 144.88 is: 217.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.89 : 326.97 = 144.88 : x
  2. Step 2: Convert to fraction form
    217.89/326.97 = 144.88/x
  3. Step 3: Cross multiply
    217.89x = 326.97 × 144.88
  4. Step 4: Simplify right side
    217.89x = 47,370.60
  5. Step 5: Solve for x
    x = 47,370.60/217.89
  6. Step 6: Final answer
    x = 217.41

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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.