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Finding the Fourth Proportional to 78.41, 108.39 and 77.73

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Solution

The fourth proportional to 78.41, 108.39 and 77.73 is: 107.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.41 : 108.39 = 77.73 : x
  2. Step 2: Convert to fraction form
    78.41/108.39 = 77.73/x
  3. Step 3: Cross multiply
    78.41x = 108.39 × 77.73
  4. Step 4: Simplify right side
    78.41x = 8,425.15
  5. Step 5: Solve for x
    x = 8,425.15/78.41
  6. Step 6: Final answer
    x = 107.46

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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.