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Finding the Fourth Proportional to 53.85, 80.78 and 50.44

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Solution

The fourth proportional to 53.85, 80.78 and 50.44 is: 75.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.85 : 80.78 = 50.44 : x
  2. Step 2: Convert to fraction form
    53.85/80.78 = 50.44/x
  3. Step 3: Cross multiply
    53.85x = 80.78 × 50.44
  4. Step 4: Simplify right side
    53.85x = 4,074.54
  5. Step 5: Solve for x
    x = 4,074.54/53.85
  6. Step 6: Final answer
    x = 75.66

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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.