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Finding the Fourth Proportional to 54.78, 82.20 and 33.42

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Solution

The fourth proportional to 54.78, 82.20 and 33.42 is: 50.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.78 : 82.20 = 33.42 : x
  2. Step 2: Convert to fraction form
    54.78/82.20 = 33.42/x
  3. Step 3: Cross multiply
    54.78x = 82.20 × 33.42
  4. Step 4: Simplify right side
    54.78x = 2,747.12
  5. Step 5: Solve for x
    x = 2,747.12/54.78
  6. Step 6: Final answer
    x = 50.15

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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.