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Finding the Fourth Proportional to 117.96, 164.09 and 115.73

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Solution

The fourth proportional to 117.96, 164.09 and 115.73 is: 160.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.96 : 164.09 = 115.73 : x
  2. Step 2: Convert to fraction form
    117.96/164.09 = 115.73/x
  3. Step 3: Cross multiply
    117.96x = 164.09 × 115.73
  4. Step 4: Simplify right side
    117.96x = 18,990.14
  5. Step 5: Solve for x
    x = 18,990.14/117.96
  6. Step 6: Final answer
    x = 160.99

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.