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Finding the Fourth Proportional to 77.54, 107.01 and 44.80

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Solution

The fourth proportional to 77.54, 107.01 and 44.80 is: 61.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.54 : 107.01 = 44.80 : x
  2. Step 2: Convert to fraction form
    77.54/107.01 = 44.80/x
  3. Step 3: Cross multiply
    77.54x = 107.01 × 44.80
  4. Step 4: Simplify right side
    77.54x = 4,794.05
  5. Step 5: Solve for x
    x = 4,794.05/77.54
  6. Step 6: Final answer
    x = 61.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.