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Finding the Fourth Proportional to 27.38, 40.82 and 25.78

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Solution

The fourth proportional to 27.38, 40.82 and 25.78 is: 38.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.38 : 40.82 = 25.78 : x
  2. Step 2: Convert to fraction form
    27.38/40.82 = 25.78/x
  3. Step 3: Cross multiply
    27.38x = 40.82 × 25.78
  4. Step 4: Simplify right side
    27.38x = 1,052.24
  5. Step 5: Solve for x
    x = 1,052.24/27.38
  6. Step 6: Final answer
    x = 38.44

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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.