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Finding the Fourth Proportional to 300.38, 452.54 and 272.61

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Solution

The fourth proportional to 300.38, 452.54 and 272.61 is: 410.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.38 : 452.54 = 272.61 : x
  2. Step 2: Convert to fraction form
    300.38/452.54 = 272.61/x
  3. Step 3: Cross multiply
    300.38x = 452.54 × 272.61
  4. Step 4: Simplify right side
    300.38x = 123,367.61
  5. Step 5: Solve for x
    x = 123,367.61/300.38
  6. Step 6: Final answer
    x = 410.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.