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Finding the Fourth Proportional to 97.25, 134.39 and 77.81

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Solution

The fourth proportional to 97.25, 134.39 and 77.81 is: 107.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.25 : 134.39 = 77.81 : x
  2. Step 2: Convert to fraction form
    97.25/134.39 = 77.81/x
  3. Step 3: Cross multiply
    97.25x = 134.39 × 77.81
  4. Step 4: Simplify right side
    97.25x = 10,456.41
  5. Step 5: Solve for x
    x = 10,456.41/97.25
  6. Step 6: Final answer
    x = 107.53

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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.