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Finding the Fourth Proportional to 426.24, 638.88 and 323.20

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Solution

The fourth proportional to 426.24, 638.88 and 323.20 is: 484.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.24 : 638.88 = 323.20 : x
  2. Step 2: Convert to fraction form
    426.24/638.88 = 323.20/x
  3. Step 3: Cross multiply
    426.24x = 638.88 × 323.20
  4. Step 4: Simplify right side
    426.24x = 206,486.02
  5. Step 5: Solve for x
    x = 206,486.02/426.24
  6. Step 6: Final answer
    x = 484.44

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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.