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Finding the Fourth Proportional to 26.78, 36.75 and 26.18

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Solution

The fourth proportional to 26.78, 36.75 and 26.18 is: 35.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.78 : 36.75 = 26.18 : x
  2. Step 2: Convert to fraction form
    26.78/36.75 = 26.18/x
  3. Step 3: Cross multiply
    26.78x = 36.75 × 26.18
  4. Step 4: Simplify right side
    26.78x = 961.93
  5. Step 5: Solve for x
    x = 961.93/26.78
  6. Step 6: Final answer
    x = 35.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.