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Finding the Fourth Proportional to 84.77, 116.96 and 77.85

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Solution

The fourth proportional to 84.77, 116.96 and 77.85 is: 107.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.77 : 116.96 = 77.85 : x
  2. Step 2: Convert to fraction form
    84.77/116.96 = 77.85/x
  3. Step 3: Cross multiply
    84.77x = 116.96 × 77.85
  4. Step 4: Simplify right side
    84.77x = 9,104.95
  5. Step 5: Solve for x
    x = 9,104.95/84.77
  6. Step 6: Final answer
    x = 107.41

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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.