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Finding the Fourth Proportional to 69.08, 94.56 and 68.80

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Solution

The fourth proportional to 69.08, 94.56 and 68.80 is: 94.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.08 : 94.56 = 68.80 : x
  2. Step 2: Convert to fraction form
    69.08/94.56 = 68.80/x
  3. Step 3: Cross multiply
    69.08x = 94.56 × 68.80
  4. Step 4: Simplify right side
    69.08x = 6,505.73
  5. Step 5: Solve for x
    x = 6,505.73/69.08
  6. Step 6: Final answer
    x = 94.18

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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.