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Finding the Fourth Proportional to 299.66, 449.79 and 213.09

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Solution

The fourth proportional to 299.66, 449.79 and 213.09 is: 319.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.66 : 449.79 = 213.09 : x
  2. Step 2: Convert to fraction form
    299.66/449.79 = 213.09/x
  3. Step 3: Cross multiply
    299.66x = 449.79 × 213.09
  4. Step 4: Simplify right side
    299.66x = 95,845.75
  5. Step 5: Solve for x
    x = 95,845.75/299.66
  6. Step 6: Final answer
    x = 319.85

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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.