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Finding the Fourth Proportional to 27.89, 38.49 and 16.24

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Solution

The fourth proportional to 27.89, 38.49 and 16.24 is: 22.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.89 : 38.49 = 16.24 : x
  2. Step 2: Convert to fraction form
    27.89/38.49 = 16.24/x
  3. Step 3: Cross multiply
    27.89x = 38.49 × 16.24
  4. Step 4: Simplify right side
    27.89x = 624.98
  5. Step 5: Solve for x
    x = 624.98/27.89
  6. Step 6: Final answer
    x = 22.41

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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.