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Finding the Fourth Proportional to 38.96, 53.78 and 25.85

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Solution

The fourth proportional to 38.96, 53.78 and 25.85 is: 35.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.96 : 53.78 = 25.85 : x
  2. Step 2: Convert to fraction form
    38.96/53.78 = 25.85/x
  3. Step 3: Cross multiply
    38.96x = 53.78 × 25.85
  4. Step 4: Simplify right side
    38.96x = 1,390.21
  5. Step 5: Solve for x
    x = 1,390.21/38.96
  6. Step 6: Final answer
    x = 35.68

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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.