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Finding the Fourth Proportional to 80.41, 110.30 and 77.77

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Solution

The fourth proportional to 80.41, 110.30 and 77.77 is: 106.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.41 : 110.30 = 77.77 : x
  2. Step 2: Convert to fraction form
    80.41/110.30 = 77.77/x
  3. Step 3: Cross multiply
    80.41x = 110.30 × 77.77
  4. Step 4: Simplify right side
    80.41x = 8,578.03
  5. Step 5: Solve for x
    x = 8,578.03/80.41
  6. Step 6: Final answer
    x = 106.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.