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Finding the Fourth Proportional to 54.83, 82.18 and 25.94

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Solution

The fourth proportional to 54.83, 82.18 and 25.94 is: 38.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.83 : 82.18 = 25.94 : x
  2. Step 2: Convert to fraction form
    54.83/82.18 = 25.94/x
  3. Step 3: Cross multiply
    54.83x = 82.18 × 25.94
  4. Step 4: Simplify right side
    54.83x = 2,131.52
  5. Step 5: Solve for x
    x = 2,131.52/54.83
  6. Step 6: Final answer
    x = 38.88

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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.