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Finding the Fourth Proportional to 111.13, 165.94 and 110.39

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Solution

The fourth proportional to 111.13, 165.94 and 110.39 is: 164.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.13 : 165.94 = 110.39 : x
  2. Step 2: Convert to fraction form
    111.13/165.94 = 110.39/x
  3. Step 3: Cross multiply
    111.13x = 165.94 × 110.39
  4. Step 4: Simplify right side
    111.13x = 18,317.01
  5. Step 5: Solve for x
    x = 18,317.01/111.13
  6. Step 6: Final answer
    x = 164.83

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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.