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Finding the Fourth Proportional to 40.78, 61.20 and 27.22

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Solution

The fourth proportional to 40.78, 61.20 and 27.22 is: 40.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.78 : 61.20 = 27.22 : x
  2. Step 2: Convert to fraction form
    40.78/61.20 = 27.22/x
  3. Step 3: Cross multiply
    40.78x = 61.20 × 27.22
  4. Step 4: Simplify right side
    40.78x = 1,665.86
  5. Step 5: Solve for x
    x = 1,665.86/40.78
  6. Step 6: Final answer
    x = 40.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.