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Finding the Fourth Proportional to 80.30, 110.78 and 50.41

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Solution

The fourth proportional to 80.30, 110.78 and 50.41 is: 69.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.30 : 110.78 = 50.41 : x
  2. Step 2: Convert to fraction form
    80.30/110.78 = 50.41/x
  3. Step 3: Cross multiply
    80.30x = 110.78 × 50.41
  4. Step 4: Simplify right side
    80.30x = 5,583.89
  5. Step 5: Solve for x
    x = 5,583.89/80.30
  6. Step 6: Final answer
    x = 69.54

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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.