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Finding the Fourth Proportional to 110.62, 164.78 and 109.21

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Solution

The fourth proportional to 110.62, 164.78 and 109.21 is: 162.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.62 : 164.78 = 109.21 : x
  2. Step 2: Convert to fraction form
    110.62/164.78 = 109.21/x
  3. Step 3: Cross multiply
    110.62x = 164.78 × 109.21
  4. Step 4: Simplify right side
    110.62x = 17,995.62
  5. Step 5: Solve for x
    x = 17,995.62/110.62
  6. Step 6: Final answer
    x = 162.68

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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.