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Finding the Fourth Proportional to 164.12, 226.49 and 97.73

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Solution

The fourth proportional to 164.12, 226.49 and 97.73 is: 134.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.12 : 226.49 = 97.73 : x
  2. Step 2: Convert to fraction form
    164.12/226.49 = 97.73/x
  3. Step 3: Cross multiply
    164.12x = 226.49 × 97.73
  4. Step 4: Simplify right side
    164.12x = 22,134.87
  5. Step 5: Solve for x
    x = 22,134.87/164.12
  6. Step 6: Final answer
    x = 134.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.