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Finding the Fourth Proportional to 54.81, 82.20 and 31.96

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Solution

The fourth proportional to 54.81, 82.20 and 31.96 is: 47.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.81 : 82.20 = 31.96 : x
  2. Step 2: Convert to fraction form
    54.81/82.20 = 31.96/x
  3. Step 3: Cross multiply
    54.81x = 82.20 × 31.96
  4. Step 4: Simplify right side
    54.81x = 2,626.95
  5. Step 5: Solve for x
    x = 2,626.95/54.81
  6. Step 6: Final answer
    x = 47.93

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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.