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Finding the Fourth Proportional to 43.96, 66.01 and 25.73

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Solution

The fourth proportional to 43.96, 66.01 and 25.73 is: 38.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.96 : 66.01 = 25.73 : x
  2. Step 2: Convert to fraction form
    43.96/66.01 = 25.73/x
  3. Step 3: Cross multiply
    43.96x = 66.01 × 25.73
  4. Step 4: Simplify right side
    43.96x = 1,698.54
  5. Step 5: Solve for x
    x = 1,698.54/43.96
  6. Step 6: Final answer
    x = 38.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.