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Finding the Fourth Proportional to 192.82, 289.23 and 107.86

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Solution

The fourth proportional to 192.82, 289.23 and 107.86 is: 161.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.82 : 289.23 = 107.86 : x
  2. Step 2: Convert to fraction form
    192.82/289.23 = 107.86/x
  3. Step 3: Cross multiply
    192.82x = 289.23 × 107.86
  4. Step 4: Simplify right side
    192.82x = 31,196.35
  5. Step 5: Solve for x
    x = 31,196.35/192.82
  6. Step 6: Final answer
    x = 161.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.