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Finding the Fourth Proportional to 217.86, 327.10 and 191.13

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Solution

The fourth proportional to 217.86, 327.10 and 191.13 is: 286.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.86 : 327.10 = 191.13 : x
  2. Step 2: Convert to fraction form
    217.86/327.10 = 191.13/x
  3. Step 3: Cross multiply
    217.86x = 327.10 × 191.13
  4. Step 4: Simplify right side
    217.86x = 62,518.62
  5. Step 5: Solve for x
    x = 62,518.62/217.86
  6. Step 6: Final answer
    x = 286.97

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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.