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Finding the Fourth Proportional to 54.69, 75.42 and 41.73

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Solution

The fourth proportional to 54.69, 75.42 and 41.73 is: 57.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.69 : 75.42 = 41.73 : x
  2. Step 2: Convert to fraction form
    54.69/75.42 = 41.73/x
  3. Step 3: Cross multiply
    54.69x = 75.42 × 41.73
  4. Step 4: Simplify right side
    54.69x = 3,147.28
  5. Step 5: Solve for x
    x = 3,147.28/54.69
  6. Step 6: Final answer
    x = 57.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.