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Finding the Fourth Proportional to 122.22, 167.46 and 120.70

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Solution

The fourth proportional to 122.22, 167.46 and 120.70 is: 165.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.22 : 167.46 = 120.70 : x
  2. Step 2: Convert to fraction form
    122.22/167.46 = 120.70/x
  3. Step 3: Cross multiply
    122.22x = 167.46 × 120.70
  4. Step 4: Simplify right side
    122.22x = 20,212.18
  5. Step 5: Solve for x
    x = 20,212.18/122.22
  6. Step 6: Final answer
    x = 165.38

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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.