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Finding the Fourth Proportional to 326.19, 449.85 and 201.75

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Solution

The fourth proportional to 326.19, 449.85 and 201.75 is: 278.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.19 : 449.85 = 201.75 : x
  2. Step 2: Convert to fraction form
    326.19/449.85 = 201.75/x
  3. Step 3: Cross multiply
    326.19x = 449.85 × 201.75
  4. Step 4: Simplify right side
    326.19x = 90,757.24
  5. Step 5: Solve for x
    x = 90,757.24/326.19
  6. Step 6: Final answer
    x = 278.23

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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.