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Finding the Fourth Proportional to 33.78, 46.42 and 27.62

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Solution

The fourth proportional to 33.78, 46.42 and 27.62 is: 37.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.78 : 46.42 = 27.62 : x
  2. Step 2: Convert to fraction form
    33.78/46.42 = 27.62/x
  3. Step 3: Cross multiply
    33.78x = 46.42 × 27.62
  4. Step 4: Simplify right side
    33.78x = 1,282.12
  5. Step 5: Solve for x
    x = 1,282.12/33.78
  6. Step 6: Final answer
    x = 37.96

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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.