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Finding the Fourth Proportional to 54.38, 74.96 and 38.81

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Solution

The fourth proportional to 54.38, 74.96 and 38.81 is: 53.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.38 : 74.96 = 38.81 : x
  2. Step 2: Convert to fraction form
    54.38/74.96 = 38.81/x
  3. Step 3: Cross multiply
    54.38x = 74.96 × 38.81
  4. Step 4: Simplify right side
    54.38x = 2,908.63
  5. Step 5: Solve for x
    x = 2,908.63/54.38
  6. Step 6: Final answer
    x = 53.49

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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.