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Finding the Fourth Proportional to 382.88, 573.41 and 199.73

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Solution

The fourth proportional to 382.88, 573.41 and 199.73 is: 299.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.88 : 573.41 = 199.73 : x
  2. Step 2: Convert to fraction form
    382.88/573.41 = 199.73/x
  3. Step 3: Cross multiply
    382.88x = 573.41 × 199.73
  4. Step 4: Simplify right side
    382.88x = 114,529.11
  5. Step 5: Solve for x
    x = 114,529.11/382.88
  6. Step 6: Final answer
    x = 299.12

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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.