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Finding the Fourth Proportional to 462.26, 638.21 and 329.78

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Solution

The fourth proportional to 462.26, 638.21 and 329.78 is: 455.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.26 : 638.21 = 329.78 : x
  2. Step 2: Convert to fraction form
    462.26/638.21 = 329.78/x
  3. Step 3: Cross multiply
    462.26x = 638.21 × 329.78
  4. Step 4: Simplify right side
    462.26x = 210,464.05
  5. Step 5: Solve for x
    x = 210,464.05/462.26
  6. Step 6: Final answer
    x = 455.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.