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Finding the Fourth Proportional to 54.54, 81.87 and 34.19

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Solution

The fourth proportional to 54.54, 81.87 and 34.19 is: 51.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.54 : 81.87 = 34.19 : x
  2. Step 2: Convert to fraction form
    54.54/81.87 = 34.19/x
  3. Step 3: Cross multiply
    54.54x = 81.87 × 34.19
  4. Step 4: Simplify right side
    54.54x = 2,798.73
  5. Step 5: Solve for x
    x = 2,798.73/54.54
  6. Step 6: Final answer
    x = 51.32

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Why These Related Problems?

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