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Finding the Fourth Proportional to 42.17, 57.78 and 40.75

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Solution

The fourth proportional to 42.17, 57.78 and 40.75 is: 55.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.17 : 57.78 = 40.75 : x
  2. Step 2: Convert to fraction form
    42.17/57.78 = 40.75/x
  3. Step 3: Cross multiply
    42.17x = 57.78 × 40.75
  4. Step 4: Simplify right side
    42.17x = 2,354.39
  5. Step 5: Solve for x
    x = 2,354.39/42.17
  6. Step 6: Final answer
    x = 55.84

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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.