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Finding the Fourth Proportional to 382.87, 574.64 and 209.69

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Solution

The fourth proportional to 382.87, 574.64 and 209.69 is: 314.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.87 : 574.64 = 209.69 : x
  2. Step 2: Convert to fraction form
    382.87/574.64 = 209.69/x
  3. Step 3: Cross multiply
    382.87x = 574.64 × 209.69
  4. Step 4: Simplify right side
    382.87x = 120,497.70
  5. Step 5: Solve for x
    x = 120,497.70/382.87
  6. Step 6: Final answer
    x = 314.72

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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.