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Finding the Fourth Proportional to 26.63, 36.77 and 20.09

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Solution

The fourth proportional to 26.63, 36.77 and 20.09 is: 27.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.63 : 36.77 = 20.09 : x
  2. Step 2: Convert to fraction form
    26.63/36.77 = 20.09/x
  3. Step 3: Cross multiply
    26.63x = 36.77 × 20.09
  4. Step 4: Simplify right side
    26.63x = 738.85
  5. Step 5: Solve for x
    x = 738.85/26.63
  6. Step 6: Final answer
    x = 27.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.