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Finding the Fourth Proportional to 80.28, 110.78 and 50.77

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Solution

The fourth proportional to 80.28, 110.78 and 50.77 is: 70.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.28 : 110.78 = 50.77 : x
  2. Step 2: Convert to fraction form
    80.28/110.78 = 50.77/x
  3. Step 3: Cross multiply
    80.28x = 110.78 × 50.77
  4. Step 4: Simplify right side
    80.28x = 5,623.75
  5. Step 5: Solve for x
    x = 5,623.75/80.28
  6. Step 6: Final answer
    x = 70.05

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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.