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Finding the Fourth Proportional to 192.97, 289.42 and 75.79

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Solution

The fourth proportional to 192.97, 289.42 and 75.79 is: 113.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.97 : 289.42 = 75.79 : x
  2. Step 2: Convert to fraction form
    192.97/289.42 = 75.79/x
  3. Step 3: Cross multiply
    192.97x = 289.42 × 75.79
  4. Step 4: Simplify right side
    192.97x = 21,934.23
  5. Step 5: Solve for x
    x = 21,934.23/192.97
  6. Step 6: Final answer
    x = 113.67

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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.