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Finding the Fourth Proportional to 42.12, 57.81 and 38.48

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Solution

The fourth proportional to 42.12, 57.81 and 38.48 is: 52.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.12 : 57.81 = 38.48 : x
  2. Step 2: Convert to fraction form
    42.12/57.81 = 38.48/x
  3. Step 3: Cross multiply
    42.12x = 57.81 × 38.48
  4. Step 4: Simplify right side
    42.12x = 2,224.38
  5. Step 5: Solve for x
    x = 2,224.38/42.12
  6. Step 6: Final answer
    x = 52.81

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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.