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Finding the Fourth Proportional to 326.18, 449.88 and 201.79

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Solution

The fourth proportional to 326.18, 449.88 and 201.79 is: 278.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.18 : 449.88 = 201.79 : x
  2. Step 2: Convert to fraction form
    326.18/449.88 = 201.79/x
  3. Step 3: Cross multiply
    326.18x = 449.88 × 201.79
  4. Step 4: Simplify right side
    326.18x = 90,781.29
  5. Step 5: Solve for x
    x = 90,781.29/326.18
  6. Step 6: Final answer
    x = 278.32

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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.