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Finding the Fourth Proportional to 462.80, 638.04 and 321.02

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Solution

The fourth proportional to 462.80, 638.04 and 321.02 is: 442.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.80 : 638.04 = 321.02 : x
  2. Step 2: Convert to fraction form
    462.80/638.04 = 321.02/x
  3. Step 3: Cross multiply
    462.80x = 638.04 × 321.02
  4. Step 4: Simplify right side
    462.80x = 204,823.60
  5. Step 5: Solve for x
    x = 204,823.60/462.80
  6. Step 6: Final answer
    x = 442.57

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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.