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Finding the Fourth Proportional to 27.67, 38.22 and 21.56

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Solution

The fourth proportional to 27.67, 38.22 and 21.56 is: 29.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.67 : 38.22 = 21.56 : x
  2. Step 2: Convert to fraction form
    27.67/38.22 = 21.56/x
  3. Step 3: Cross multiply
    27.67x = 38.22 × 21.56
  4. Step 4: Simplify right side
    27.67x = 824.02
  5. Step 5: Solve for x
    x = 824.02/27.67
  6. Step 6: Final answer
    x = 29.78

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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.