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Finding the Fourth Proportional to 161.67, 222.42 and 142.91

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Solution

The fourth proportional to 161.67, 222.42 and 142.91 is: 196.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.67 : 222.42 = 142.91 : x
  2. Step 2: Convert to fraction form
    161.67/222.42 = 142.91/x
  3. Step 3: Cross multiply
    161.67x = 222.42 × 142.91
  4. Step 4: Simplify right side
    161.67x = 31,786.04
  5. Step 5: Solve for x
    x = 31,786.04/161.67
  6. Step 6: Final answer
    x = 196.61

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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.