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Finding the Fourth Proportional to 41.80, 57.41 and 41.20

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Solution

The fourth proportional to 41.80, 57.41 and 41.20 is: 56.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.80 : 57.41 = 41.20 : x
  2. Step 2: Convert to fraction form
    41.80/57.41 = 41.20/x
  3. Step 3: Cross multiply
    41.80x = 57.41 × 41.20
  4. Step 4: Simplify right side
    41.80x = 2,365.29
  5. Step 5: Solve for x
    x = 2,365.29/41.80
  6. Step 6: Final answer
    x = 56.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.