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Finding the Fourth Proportional to 382.80, 574.56 and 209.55

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Solution

The fourth proportional to 382.80, 574.56 and 209.55 is: 314.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.80 : 574.56 = 209.55 : x
  2. Step 2: Convert to fraction form
    382.80/574.56 = 209.55/x
  3. Step 3: Cross multiply
    382.80x = 574.56 × 209.55
  4. Step 4: Simplify right side
    382.80x = 120,399.05
  5. Step 5: Solve for x
    x = 120,399.05/382.80
  6. Step 6: Final answer
    x = 314.52

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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.