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Finding the Fourth Proportional to 234.11, 349.46 and 217.22

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Solution

The fourth proportional to 234.11, 349.46 and 217.22 is: 324.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.11 : 349.46 = 217.22 : x
  2. Step 2: Convert to fraction form
    234.11/349.46 = 217.22/x
  3. Step 3: Cross multiply
    234.11x = 349.46 × 217.22
  4. Step 4: Simplify right side
    234.11x = 75,909.70
  5. Step 5: Solve for x
    x = 75,909.70/234.11
  6. Step 6: Final answer
    x = 324.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.