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Finding the Fourth Proportional to 110.22, 164.40 and 104.10

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Solution

The fourth proportional to 110.22, 164.40 and 104.10 is: 155.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.22 : 164.40 = 104.10 : x
  2. Step 2: Convert to fraction form
    110.22/164.40 = 104.10/x
  3. Step 3: Cross multiply
    110.22x = 164.40 × 104.10
  4. Step 4: Simplify right side
    110.22x = 17,114.04
  5. Step 5: Solve for x
    x = 17,114.04/110.22
  6. Step 6: Final answer
    x = 155.27

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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.