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Finding the Fourth Proportional to 299.82, 447.40 and 269.18

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Solution

The fourth proportional to 299.82, 447.40 and 269.18 is: 401.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.82 : 447.40 = 269.18 : x
  2. Step 2: Convert to fraction form
    299.82/447.40 = 269.18/x
  3. Step 3: Cross multiply
    299.82x = 447.40 × 269.18
  4. Step 4: Simplify right side
    299.82x = 120,431.13
  5. Step 5: Solve for x
    x = 120,431.13/299.82
  6. Step 6: Final answer
    x = 401.68

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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.