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Finding the Fourth Proportional to 326.97, 451.22 and 177.60

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Solution

The fourth proportional to 326.97, 451.22 and 177.60 is: 245.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.97 : 451.22 = 177.60 : x
  2. Step 2: Convert to fraction form
    326.97/451.22 = 177.60/x
  3. Step 3: Cross multiply
    326.97x = 451.22 × 177.60
  4. Step 4: Simplify right side
    326.97x = 80,134.42
  5. Step 5: Solve for x
    x = 80,134.42/326.97
  6. Step 6: Final answer
    x = 245.08

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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.