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Finding the Fourth Proportional to 77.41, 115.57 and 67.22

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Solution

The fourth proportional to 77.41, 115.57 and 67.22 is: 100.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.41 : 115.57 = 67.22 : x
  2. Step 2: Convert to fraction form
    77.41/115.57 = 67.22/x
  3. Step 3: Cross multiply
    77.41x = 115.57 × 67.22
  4. Step 4: Simplify right side
    77.41x = 7,768.62
  5. Step 5: Solve for x
    x = 7,768.62/77.41
  6. Step 6: Final answer
    x = 100.36

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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.