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Finding the Fourth Proportional to 42.12, 57.78 and 41.04

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Solution

The fourth proportional to 42.12, 57.78 and 41.04 is: 56.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.12 : 57.78 = 41.04 : x
  2. Step 2: Convert to fraction form
    42.12/57.78 = 41.04/x
  3. Step 3: Cross multiply
    42.12x = 57.78 × 41.04
  4. Step 4: Simplify right side
    42.12x = 2,371.29
  5. Step 5: Solve for x
    x = 2,371.29/42.12
  6. Step 6: Final answer
    x = 56.30

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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.