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Finding the Fourth Proportional to 272.26, 378.23 and 269.73

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Solution

The fourth proportional to 272.26, 378.23 and 269.73 is: 374.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.26 : 378.23 = 269.73 : x
  2. Step 2: Convert to fraction form
    272.26/378.23 = 269.73/x
  3. Step 3: Cross multiply
    272.26x = 378.23 × 269.73
  4. Step 4: Simplify right side
    272.26x = 102,019.98
  5. Step 5: Solve for x
    x = 102,019.98/272.26
  6. Step 6: Final answer
    x = 374.72

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.