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Finding the Fourth Proportional to 26.79, 36.96 and 20.65

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Solution

The fourth proportional to 26.79, 36.96 and 20.65 is: 28.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.79 : 36.96 = 20.65 : x
  2. Step 2: Convert to fraction form
    26.79/36.96 = 20.65/x
  3. Step 3: Cross multiply
    26.79x = 36.96 × 20.65
  4. Step 4: Simplify right side
    26.79x = 763.30
  5. Step 5: Solve for x
    x = 763.30/26.79
  6. Step 6: Final answer
    x = 28.49

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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.