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Finding the Fourth Proportional to 121.37, 166.79 and 113.27

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Solution

The fourth proportional to 121.37, 166.79 and 113.27 is: 155.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.37 : 166.79 = 113.27 : x
  2. Step 2: Convert to fraction form
    121.37/166.79 = 113.27/x
  3. Step 3: Cross multiply
    121.37x = 166.79 × 113.27
  4. Step 4: Simplify right side
    121.37x = 18,891.75
  5. Step 5: Solve for x
    x = 18,891.75/121.37
  6. Step 6: Final answer
    x = 155.66

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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.