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Finding the Fourth Proportional to 80.54, 119.81 and 80.27

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Solution

The fourth proportional to 80.54, 119.81 and 80.27 is: 119.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.54 : 119.81 = 80.27 : x
  2. Step 2: Convert to fraction form
    80.54/119.81 = 80.27/x
  3. Step 3: Cross multiply
    80.54x = 119.81 × 80.27
  4. Step 4: Simplify right side
    80.54x = 9,616.75
  5. Step 5: Solve for x
    x = 9,616.75/80.54
  6. Step 6: Final answer
    x = 119.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.