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Finding the Fourth Proportional to 327.06, 451.09 and 196.04

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Solution

The fourth proportional to 327.06, 451.09 and 196.04 is: 270.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.06 : 451.09 = 196.04 : x
  2. Step 2: Convert to fraction form
    327.06/451.09 = 196.04/x
  3. Step 3: Cross multiply
    327.06x = 451.09 × 196.04
  4. Step 4: Simplify right side
    327.06x = 88,431.68
  5. Step 5: Solve for x
    x = 88,431.68/327.06
  6. Step 6: Final answer
    x = 270.38

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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.