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Finding the Fourth Proportional to 108.98, 164.38 and 107.94

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Solution

The fourth proportional to 108.98, 164.38 and 107.94 is: 162.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.98 : 164.38 = 107.94 : x
  2. Step 2: Convert to fraction form
    108.98/164.38 = 107.94/x
  3. Step 3: Cross multiply
    108.98x = 164.38 × 107.94
  4. Step 4: Simplify right side
    108.98x = 17,743.18
  5. Step 5: Solve for x
    x = 17,743.18/108.98
  6. Step 6: Final answer
    x = 162.81

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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.