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Finding the Fourth Proportional to 382.80, 574.42 and 163.42

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Solution

The fourth proportional to 382.80, 574.42 and 163.42 is: 245.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.80 : 574.42 = 163.42 : x
  2. Step 2: Convert to fraction form
    382.80/574.42 = 163.42/x
  3. Step 3: Cross multiply
    382.80x = 574.42 × 163.42
  4. Step 4: Simplify right side
    382.80x = 93,869.46
  5. Step 5: Solve for x
    x = 93,869.46/382.80
  6. Step 6: Final answer
    x = 245.22

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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.