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Finding the Fourth Proportional to 54.39, 74.84 and 42.09

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Solution

The fourth proportional to 54.39, 74.84 and 42.09 is: 57.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.39 : 74.84 = 42.09 : x
  2. Step 2: Convert to fraction form
    54.39/74.84 = 42.09/x
  3. Step 3: Cross multiply
    54.39x = 74.84 × 42.09
  4. Step 4: Simplify right side
    54.39x = 3,149.74
  5. Step 5: Solve for x
    x = 3,149.74/54.39
  6. Step 6: Final answer
    x = 57.91

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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.