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Finding the Fourth Proportional to 300.15, 447.87 and 269.49

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Solution

The fourth proportional to 300.15, 447.87 and 269.49 is: 402.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.15 : 447.87 = 269.49 : x
  2. Step 2: Convert to fraction form
    300.15/447.87 = 269.49/x
  3. Step 3: Cross multiply
    300.15x = 447.87 × 269.49
  4. Step 4: Simplify right side
    300.15x = 120,696.49
  5. Step 5: Solve for x
    x = 120,696.49/300.15
  6. Step 6: Final answer
    x = 402.12

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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.