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Finding the Fourth Proportional to 192.10, 288.21 and 82.36

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Solution

The fourth proportional to 192.10, 288.21 and 82.36 is: 123.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.10 : 288.21 = 82.36 : x
  2. Step 2: Convert to fraction form
    192.10/288.21 = 82.36/x
  3. Step 3: Cross multiply
    192.10x = 288.21 × 82.36
  4. Step 4: Simplify right side
    192.10x = 23,736.26
  5. Step 5: Solve for x
    x = 23,736.26/192.10
  6. Step 6: Final answer
    x = 123.56

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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.