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Finding the Fourth Proportional to 54.42, 81.51 and 48

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Solution

The fourth proportional to 54.42, 81.51 and 48 is: 71.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.42 : 81.51 = 48 : x
  2. Step 2: Convert to fraction form
    54.42/81.51 = 48/x
  3. Step 3: Cross multiply
    54.42x = 81.51 × 48
  4. Step 4: Simplify right side
    54.42x = 3,912.48
  5. Step 5: Solve for x
    x = 3,912.48/54.42
  6. Step 6: Final answer
    x = 71.89

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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.