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Finding the Fourth Proportional to 54.81, 82.09 and 27.77

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Solution

The fourth proportional to 54.81, 82.09 and 27.77 is: 41.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.81 : 82.09 = 27.77 : x
  2. Step 2: Convert to fraction form
    54.81/82.09 = 27.77/x
  3. Step 3: Cross multiply
    54.81x = 82.09 × 27.77
  4. Step 4: Simplify right side
    54.81x = 2,279.09
  5. Step 5: Solve for x
    x = 2,279.09/54.81
  6. Step 6: Final answer
    x = 41.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.