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Finding the Fourth Proportional to 217.46, 327.57 and 196.08

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Solution

The fourth proportional to 217.46, 327.57 and 196.08 is: 295.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.46 : 327.57 = 196.08 : x
  2. Step 2: Convert to fraction form
    217.46/327.57 = 196.08/x
  3. Step 3: Cross multiply
    217.46x = 327.57 × 196.08
  4. Step 4: Simplify right side
    217.46x = 64,229.93
  5. Step 5: Solve for x
    x = 64,229.93/217.46
  6. Step 6: Final answer
    x = 295.37

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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.