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Finding the Fourth Proportional to 77.26, 107.34 and 76.55

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Solution

The fourth proportional to 77.26, 107.34 and 76.55 is: 106.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.26 : 107.34 = 76.55 : x
  2. Step 2: Convert to fraction form
    77.26/107.34 = 76.55/x
  3. Step 3: Cross multiply
    77.26x = 107.34 × 76.55
  4. Step 4: Simplify right side
    77.26x = 8,216.88
  5. Step 5: Solve for x
    x = 8,216.88/77.26
  6. Step 6: Final answer
    x = 106.35

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.