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Finding the Fourth Proportional to 327.73, 491.72 and 163.18

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Solution

The fourth proportional to 327.73, 491.72 and 163.18 is: 244.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.73 : 491.72 = 163.18 : x
  2. Step 2: Convert to fraction form
    327.73/491.72 = 163.18/x
  3. Step 3: Cross multiply
    327.73x = 491.72 × 163.18
  4. Step 4: Simplify right side
    327.73x = 80,239.59
  5. Step 5: Solve for x
    x = 80,239.59/327.73
  6. Step 6: Final answer
    x = 244.83

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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.