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Finding the Fourth Proportional to 54.49, 74.78 and 49.85

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Solution

The fourth proportional to 54.49, 74.78 and 49.85 is: 68.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.49 : 74.78 = 49.85 : x
  2. Step 2: Convert to fraction form
    54.49/74.78 = 49.85/x
  3. Step 3: Cross multiply
    54.49x = 74.78 × 49.85
  4. Step 4: Simplify right side
    54.49x = 3,728.09
  5. Step 5: Solve for x
    x = 3,728.09/54.49
  6. Step 6: Final answer
    x = 68.42

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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.