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Finding the Fourth Proportional to 122.23, 169.81 and 121.10

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Solution

The fourth proportional to 122.23, 169.81 and 121.10 is: 168.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.23 : 169.81 = 121.10 : x
  2. Step 2: Convert to fraction form
    122.23/169.81 = 121.10/x
  3. Step 3: Cross multiply
    122.23x = 169.81 × 121.10
  4. Step 4: Simplify right side
    122.23x = 20,563.39
  5. Step 5: Solve for x
    x = 20,563.39/122.23
  6. Step 6: Final answer
    x = 168.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.