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Finding the Fourth Proportional to 192.25, 288.49 and 76.75

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Solution

The fourth proportional to 192.25, 288.49 and 76.75 is: 115.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.25 : 288.49 = 76.75 : x
  2. Step 2: Convert to fraction form
    192.25/288.49 = 76.75/x
  3. Step 3: Cross multiply
    192.25x = 288.49 × 76.75
  4. Step 4: Simplify right side
    192.25x = 22,141.61
  5. Step 5: Solve for x
    x = 22,141.61/192.25
  6. Step 6: Final answer
    x = 115.17

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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.