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Finding the Fourth Proportional to 26, 38.66 and 25.78

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Solution

The fourth proportional to 26, 38.66 and 25.78 is: 38.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26 : 38.66 = 25.78 : x
  2. Step 2: Convert to fraction form
    26/38.66 = 25.78/x
  3. Step 3: Cross multiply
    26x = 38.66 × 25.78
  4. Step 4: Simplify right side
    26x = 996.65
  5. Step 5: Solve for x
    x = 996.65/26
  6. Step 6: Final answer
    x = 38.33

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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.