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Finding the Fourth Proportional to 272.09, 378.14 and 269.26

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Solution

The fourth proportional to 272.09, 378.14 and 269.26 is: 374.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.09 : 378.14 = 269.26 : x
  2. Step 2: Convert to fraction form
    272.09/378.14 = 269.26/x
  3. Step 3: Cross multiply
    272.09x = 378.14 × 269.26
  4. Step 4: Simplify right side
    272.09x = 101,815.68
  5. Step 5: Solve for x
    x = 101,815.68/272.09
  6. Step 6: Final answer
    x = 374.20

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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.