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Finding the Fourth Proportional to 108.93, 164.11 and 104.47

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Solution

The fourth proportional to 108.93, 164.11 and 104.47 is: 157.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.93 : 164.11 = 104.47 : x
  2. Step 2: Convert to fraction form
    108.93/164.11 = 104.47/x
  3. Step 3: Cross multiply
    108.93x = 164.11 × 104.47
  4. Step 4: Simplify right side
    108.93x = 17,144.57
  5. Step 5: Solve for x
    x = 17,144.57/108.93
  6. Step 6: Final answer
    x = 157.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.