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Finding the Fourth Proportional to 192.62, 288.99 and 82.88

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Solution

The fourth proportional to 192.62, 288.99 and 82.88 is: 124.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.62 : 288.99 = 82.88 : x
  2. Step 2: Convert to fraction form
    192.62/288.99 = 82.88/x
  3. Step 3: Cross multiply
    192.62x = 288.99 × 82.88
  4. Step 4: Simplify right side
    192.62x = 23,949.84
  5. Step 5: Solve for x
    x = 23,949.84/192.62
  6. Step 6: Final answer
    x = 124.34

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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.