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Finding the Fourth Proportional to 109.27, 164.95 and 108.73

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Solution

The fourth proportional to 109.27, 164.95 and 108.73 is: 164.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.27 : 164.95 = 108.73 : x
  2. Step 2: Convert to fraction form
    109.27/164.95 = 108.73/x
  3. Step 3: Cross multiply
    109.27x = 164.95 × 108.73
  4. Step 4: Simplify right side
    109.27x = 17,935.01
  5. Step 5: Solve for x
    x = 17,935.01/109.27
  6. Step 6: Final answer
    x = 164.13

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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.