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Finding the Fourth Proportional to 327.21, 451.61 and 196.23

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Solution

The fourth proportional to 327.21, 451.61 and 196.23 is: 270.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.21 : 451.61 = 196.23 : x
  2. Step 2: Convert to fraction form
    327.21/451.61 = 196.23/x
  3. Step 3: Cross multiply
    327.21x = 451.61 × 196.23
  4. Step 4: Simplify right side
    327.21x = 88,618.45
  5. Step 5: Solve for x
    x = 88,618.45/327.21
  6. Step 6: Final answer
    x = 270.83

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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.