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Finding the Fourth Proportional to 326.92, 451.20 and 196

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Solution

The fourth proportional to 326.92, 451.20 and 196 is: 270.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.92 : 451.20 = 196 : x
  2. Step 2: Convert to fraction form
    326.92/451.20 = 196/x
  3. Step 3: Cross multiply
    326.92x = 451.20 × 196
  4. Step 4: Simplify right side
    326.92x = 88,435.20
  5. Step 5: Solve for x
    x = 88,435.20/326.92
  6. Step 6: Final answer
    x = 270.51

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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.