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Finding the Fourth Proportional to 326.10, 449.91 and 209.73

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Solution

The fourth proportional to 326.10, 449.91 and 209.73 is: 289.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.10 : 449.91 = 209.73 : x
  2. Step 2: Convert to fraction form
    326.10/449.91 = 209.73/x
  3. Step 3: Cross multiply
    326.10x = 449.91 × 209.73
  4. Step 4: Simplify right side
    326.10x = 94,359.62
  5. Step 5: Solve for x
    x = 94,359.62/326.10
  6. Step 6: Final answer
    x = 289.36

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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.