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Finding the Fourth Proportional to 80.07, 119.16 and 77.19

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Solution

The fourth proportional to 80.07, 119.16 and 77.19 is: 114.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.07 : 119.16 = 77.19 : x
  2. Step 2: Convert to fraction form
    80.07/119.16 = 77.19/x
  3. Step 3: Cross multiply
    80.07x = 119.16 × 77.19
  4. Step 4: Simplify right side
    80.07x = 9,197.96
  5. Step 5: Solve for x
    x = 9,197.96/80.07
  6. Step 6: Final answer
    x = 114.87

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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.