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Finding the Fourth Proportional to 327.61, 449.17 and 321.76

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Solution

The fourth proportional to 327.61, 449.17 and 321.76 is: 441.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.61 : 449.17 = 321.76 : x
  2. Step 2: Convert to fraction form
    327.61/449.17 = 321.76/x
  3. Step 3: Cross multiply
    327.61x = 449.17 × 321.76
  4. Step 4: Simplify right side
    327.61x = 144,521.08
  5. Step 5: Solve for x
    x = 144,521.08/327.61
  6. Step 6: Final answer
    x = 441.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.