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Finding the Fourth Proportional to 28.96, 40.17 and 27.97

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Solution

The fourth proportional to 28.96, 40.17 and 27.97 is: 38.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.96 : 40.17 = 27.97 : x
  2. Step 2: Convert to fraction form
    28.96/40.17 = 27.97/x
  3. Step 3: Cross multiply
    28.96x = 40.17 × 27.97
  4. Step 4: Simplify right side
    28.96x = 1,123.55
  5. Step 5: Solve for x
    x = 1,123.55/28.96
  6. Step 6: Final answer
    x = 38.80

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.