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Finding the Fourth Proportional to 323.92, 443.76 and 311.59

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Solution

The fourth proportional to 323.92, 443.76 and 311.59 is: 426.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.92 : 443.76 = 311.59 : x
  2. Step 2: Convert to fraction form
    323.92/443.76 = 311.59/x
  3. Step 3: Cross multiply
    323.92x = 443.76 × 311.59
  4. Step 4: Simplify right side
    323.92x = 138,271.18
  5. Step 5: Solve for x
    x = 138,271.18/323.92
  6. Step 6: Final answer
    x = 426.87

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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.