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Finding the Fourth Proportional to 76.92, 105.48 and 73.27

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Solution

The fourth proportional to 76.92, 105.48 and 73.27 is: 100.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.92 : 105.48 = 73.27 : x
  2. Step 2: Convert to fraction form
    76.92/105.48 = 73.27/x
  3. Step 3: Cross multiply
    76.92x = 105.48 × 73.27
  4. Step 4: Simplify right side
    76.92x = 7,728.52
  5. Step 5: Solve for x
    x = 7,728.52/76.92
  6. Step 6: Final answer
    x = 100.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.