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Finding the Fourth Proportional to 122.22, 167.42 and 120.66

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Solution

The fourth proportional to 122.22, 167.42 and 120.66 is: 165.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.22 : 167.42 = 120.66 : x
  2. Step 2: Convert to fraction form
    122.22/167.42 = 120.66/x
  3. Step 3: Cross multiply
    122.22x = 167.42 × 120.66
  4. Step 4: Simplify right side
    122.22x = 20,200.29
  5. Step 5: Solve for x
    x = 20,200.29/122.22
  6. Step 6: Final answer
    x = 165.28

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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.