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Finding the Fourth Proportional to 26.38, 39.80 and 25.27

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Solution

The fourth proportional to 26.38, 39.80 and 25.27 is: 38.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.38 : 39.80 = 25.27 : x
  2. Step 2: Convert to fraction form
    26.38/39.80 = 25.27/x
  3. Step 3: Cross multiply
    26.38x = 39.80 × 25.27
  4. Step 4: Simplify right side
    26.38x = 1,005.75
  5. Step 5: Solve for x
    x = 1,005.75/26.38
  6. Step 6: Final answer
    x = 38.13

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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.