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Finding the Fourth Proportional to 379.80, 571.92 and 331.62

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Solution

The fourth proportional to 379.80, 571.92 and 331.62 is: 499.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.80 : 571.92 = 331.62 : x
  2. Step 2: Convert to fraction form
    379.80/571.92 = 331.62/x
  3. Step 3: Cross multiply
    379.80x = 571.92 × 331.62
  4. Step 4: Simplify right side
    379.80x = 189,660.11
  5. Step 5: Solve for x
    x = 189,660.11/379.80
  6. Step 6: Final answer
    x = 499.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.