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Finding the Fourth Proportional to 217.61, 327.03 and 181.27

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Solution

The fourth proportional to 217.61, 327.03 and 181.27 is: 272.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.61 : 327.03 = 181.27 : x
  2. Step 2: Convert to fraction form
    217.61/327.03 = 181.27/x
  3. Step 3: Cross multiply
    217.61x = 327.03 × 181.27
  4. Step 4: Simplify right side
    217.61x = 59,280.73
  5. Step 5: Solve for x
    x = 59,280.73/217.61
  6. Step 6: Final answer
    x = 272.42

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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.