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Finding the Fourth Proportional to 122.26, 167.51 and 120.55

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Solution

The fourth proportional to 122.26, 167.51 and 120.55 is: 165.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.26 : 167.51 = 120.55 : x
  2. Step 2: Convert to fraction form
    122.26/167.51 = 120.55/x
  3. Step 3: Cross multiply
    122.26x = 167.51 × 120.55
  4. Step 4: Simplify right side
    122.26x = 20,192.92
  5. Step 5: Solve for x
    x = 20,192.92/122.26
  6. Step 6: Final answer
    x = 165.16

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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.