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Finding the Fourth Proportional to 414.56, 571.92 and 326.88

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Solution

The fourth proportional to 414.56, 571.92 and 326.88 is: 450.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.56 : 571.92 = 326.88 : x
  2. Step 2: Convert to fraction form
    414.56/571.92 = 326.88/x
  3. Step 3: Cross multiply
    414.56x = 571.92 × 326.88
  4. Step 4: Simplify right side
    414.56x = 186,949.21
  5. Step 5: Solve for x
    x = 186,949.21/414.56
  6. Step 6: Final answer
    x = 450.96

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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.