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Finding the Fourth Proportional to 161.14, 222.24 and 122.26

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Solution

The fourth proportional to 161.14, 222.24 and 122.26 is: 168.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.14 : 222.24 = 122.26 : x
  2. Step 2: Convert to fraction form
    161.14/222.24 = 122.26/x
  3. Step 3: Cross multiply
    161.14x = 222.24 × 122.26
  4. Step 4: Simplify right side
    161.14x = 27,171.06
  5. Step 5: Solve for x
    x = 27,171.06/161.14
  6. Step 6: Final answer
    x = 168.62

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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.