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Finding the Fourth Proportional to 122.41, 182.89 and 121.33

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Solution

The fourth proportional to 122.41, 182.89 and 121.33 is: 181.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.41 : 182.89 = 121.33 : x
  2. Step 2: Convert to fraction form
    122.41/182.89 = 121.33/x
  3. Step 3: Cross multiply
    122.41x = 182.89 × 121.33
  4. Step 4: Simplify right side
    122.41x = 22,190.04
  5. Step 5: Solve for x
    x = 22,190.04/122.41
  6. Step 6: Final answer
    x = 181.28

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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.