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Finding the Fourth Proportional to 54, 80.52 and 48.27

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Solution

The fourth proportional to 54, 80.52 and 48.27 is: 71.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54 : 80.52 = 48.27 : x
  2. Step 2: Convert to fraction form
    54/80.52 = 48.27/x
  3. Step 3: Cross multiply
    54x = 80.52 × 48.27
  4. Step 4: Simplify right side
    54x = 3,886.70
  5. Step 5: Solve for x
    x = 3,886.70/54
  6. Step 6: Final answer
    x = 71.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.