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Finding the Fourth Proportional to 26.98, 37.19 and 20.86

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Solution

The fourth proportional to 26.98, 37.19 and 20.86 is: 28.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.98 : 37.19 = 20.86 : x
  2. Step 2: Convert to fraction form
    26.98/37.19 = 20.86/x
  3. Step 3: Cross multiply
    26.98x = 37.19 × 20.86
  4. Step 4: Simplify right side
    26.98x = 775.74
  5. Step 5: Solve for x
    x = 775.74/26.98
  6. Step 6: Final answer
    x = 28.76

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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.