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Finding the Fourth Proportional to 327.57, 451.65 and 196.53

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Solution

The fourth proportional to 327.57, 451.65 and 196.53 is: 270.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.57 : 451.65 = 196.53 : x
  2. Step 2: Convert to fraction form
    327.57/451.65 = 196.53/x
  3. Step 3: Cross multiply
    327.57x = 451.65 × 196.53
  4. Step 4: Simplify right side
    327.57x = 88,762.77
  5. Step 5: Solve for x
    x = 88,762.77/327.57
  6. Step 6: Final answer
    x = 270.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.