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Finding the Fourth Proportional to 426.28, 638.92 and 323.22

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Solution

The fourth proportional to 426.28, 638.92 and 323.22 is: 484.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.28 : 638.92 = 323.22 : x
  2. Step 2: Convert to fraction form
    426.28/638.92 = 323.22/x
  3. Step 3: Cross multiply
    426.28x = 638.92 × 323.22
  4. Step 4: Simplify right side
    426.28x = 206,511.72
  5. Step 5: Solve for x
    x = 206,511.72/426.28
  6. Step 6: Final answer
    x = 484.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.