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Finding the Fourth Proportional to 42.07, 57.75 and 40.85

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Solution

The fourth proportional to 42.07, 57.75 and 40.85 is: 56.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.07 : 57.75 = 40.85 : x
  2. Step 2: Convert to fraction form
    42.07/57.75 = 40.85/x
  3. Step 3: Cross multiply
    42.07x = 57.75 × 40.85
  4. Step 4: Simplify right side
    42.07x = 2,359.09
  5. Step 5: Solve for x
    x = 2,359.09/42.07
  6. Step 6: Final answer
    x = 56.08

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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.