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Finding the Fourth Proportional to 111.62, 166.26 and 110.22

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Solution

The fourth proportional to 111.62, 166.26 and 110.22 is: 164.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.62 : 166.26 = 110.22 : x
  2. Step 2: Convert to fraction form
    111.62/166.26 = 110.22/x
  3. Step 3: Cross multiply
    111.62x = 166.26 × 110.22
  4. Step 4: Simplify right side
    111.62x = 18,325.18
  5. Step 5: Solve for x
    x = 18,325.18/111.62
  6. Step 6: Final answer
    x = 164.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.