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Finding the Fourth Proportional to 423.20, 632.62 and 326

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Solution

The fourth proportional to 423.20, 632.62 and 326 is: 487.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.20 : 632.62 = 326 : x
  2. Step 2: Convert to fraction form
    423.20/632.62 = 326/x
  3. Step 3: Cross multiply
    423.20x = 632.62 × 326
  4. Step 4: Simplify right side
    423.20x = 206,234.12
  5. Step 5: Solve for x
    x = 206,234.12/423.20
  6. Step 6: Final answer
    x = 487.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.