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Finding the Fourth Proportional to 41.33, 57.01 and 25.80

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Solution

The fourth proportional to 41.33, 57.01 and 25.80 is: 35.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.33 : 57.01 = 25.80 : x
  2. Step 2: Convert to fraction form
    41.33/57.01 = 25.80/x
  3. Step 3: Cross multiply
    41.33x = 57.01 × 25.80
  4. Step 4: Simplify right side
    41.33x = 1,470.86
  5. Step 5: Solve for x
    x = 1,470.86/41.33
  6. Step 6: Final answer
    x = 35.59

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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.