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Finding the Fourth Proportional to 299.96, 449.89 and 190.61

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Solution

The fourth proportional to 299.96, 449.89 and 190.61 is: 285.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.96 : 449.89 = 190.61 : x
  2. Step 2: Convert to fraction form
    299.96/449.89 = 190.61/x
  3. Step 3: Cross multiply
    299.96x = 449.89 × 190.61
  4. Step 4: Simplify right side
    299.96x = 85,753.53
  5. Step 5: Solve for x
    x = 85,753.53/299.96
  6. Step 6: Final answer
    x = 285.88

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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.