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Finding the Fourth Proportional to 42.05, 57.46 and 41.78

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Solution

The fourth proportional to 42.05, 57.46 and 41.78 is: 57.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.05 : 57.46 = 41.78 : x
  2. Step 2: Convert to fraction form
    42.05/57.46 = 41.78/x
  3. Step 3: Cross multiply
    42.05x = 57.46 × 41.78
  4. Step 4: Simplify right side
    42.05x = 2,400.68
  5. Step 5: Solve for x
    x = 2,400.68/42.05
  6. Step 6: Final answer
    x = 57.09

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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.