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Finding the Fourth Proportional to 110.40, 164.46 and 105.18

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Solution

The fourth proportional to 110.40, 164.46 and 105.18 is: 156.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.40 : 164.46 = 105.18 : x
  2. Step 2: Convert to fraction form
    110.40/164.46 = 105.18/x
  3. Step 3: Cross multiply
    110.40x = 164.46 × 105.18
  4. Step 4: Simplify right side
    110.40x = 17,297.90
  5. Step 5: Solve for x
    x = 17,297.90/110.40
  6. Step 6: Final answer
    x = 156.68

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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.