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Finding the Fourth Proportional to 326.16, 449.96 and 201.78

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Solution

The fourth proportional to 326.16, 449.96 and 201.78 is: 278.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.16 : 449.96 = 201.78 : x
  2. Step 2: Convert to fraction form
    326.16/449.96 = 201.78/x
  3. Step 3: Cross multiply
    326.16x = 449.96 × 201.78
  4. Step 4: Simplify right side
    326.16x = 90,791.92
  5. Step 5: Solve for x
    x = 90,791.92/326.16
  6. Step 6: Final answer
    x = 278.37

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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.