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Finding the Fourth Proportional to 54.63, 81.78 and 42.42

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Solution

The fourth proportional to 54.63, 81.78 and 42.42 is: 63.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.63 : 81.78 = 42.42 : x
  2. Step 2: Convert to fraction form
    54.63/81.78 = 42.42/x
  3. Step 3: Cross multiply
    54.63x = 81.78 × 42.42
  4. Step 4: Simplify right side
    54.63x = 3,469.11
  5. Step 5: Solve for x
    x = 3,469.11/54.63
  6. Step 6: Final answer
    x = 63.50

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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.