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Finding the Fourth Proportional to 217.34, 327.29 and 195.92

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Solution

The fourth proportional to 217.34, 327.29 and 195.92 is: 295.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.34 : 327.29 = 195.92 : x
  2. Step 2: Convert to fraction form
    217.34/327.29 = 195.92/x
  3. Step 3: Cross multiply
    217.34x = 327.29 × 195.92
  4. Step 4: Simplify right side
    217.34x = 64,121.51
  5. Step 5: Solve for x
    x = 64,121.51/217.34
  6. Step 6: Final answer
    x = 295.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.