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Finding the Fourth Proportional to 320.80, 480.06 and 199.12

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Solution

The fourth proportional to 320.80, 480.06 and 199.12 is: 297.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.80 : 480.06 = 199.12 : x
  2. Step 2: Convert to fraction form
    320.80/480.06 = 199.12/x
  3. Step 3: Cross multiply
    320.80x = 480.06 × 199.12
  4. Step 4: Simplify right side
    320.80x = 95,589.55
  5. Step 5: Solve for x
    x = 95,589.55/320.80
  6. Step 6: Final answer
    x = 297.97

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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.