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Finding the Fourth Proportional to 299.08, 447.02 and 269.73

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Solution

The fourth proportional to 299.08, 447.02 and 269.73 is: 403.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.08 : 447.02 = 269.73 : x
  2. Step 2: Convert to fraction form
    299.08/447.02 = 269.73/x
  3. Step 3: Cross multiply
    299.08x = 447.02 × 269.73
  4. Step 4: Simplify right side
    299.08x = 120,576.38
  5. Step 5: Solve for x
    x = 120,576.38/299.08
  6. Step 6: Final answer
    x = 403.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.