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Finding the Fourth Proportional to 362.20, 497.99 and 322.49

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Solution

The fourth proportional to 362.20, 497.99 and 322.49 is: 443.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.20 : 497.99 = 322.49 : x
  2. Step 2: Convert to fraction form
    362.20/497.99 = 322.49/x
  3. Step 3: Cross multiply
    362.20x = 497.99 × 322.49
  4. Step 4: Simplify right side
    362.20x = 160,593.90
  5. Step 5: Solve for x
    x = 160,593.90/362.20
  6. Step 6: Final answer
    x = 443.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.