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Finding the Fourth Proportional to 192.02, 287.97 and 82.33

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Solution

The fourth proportional to 192.02, 287.97 and 82.33 is: 123.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.02 : 287.97 = 82.33 : x
  2. Step 2: Convert to fraction form
    192.02/287.97 = 82.33/x
  3. Step 3: Cross multiply
    192.02x = 287.97 × 82.33
  4. Step 4: Simplify right side
    192.02x = 23,708.16
  5. Step 5: Solve for x
    x = 23,708.16/192.02
  6. Step 6: Final answer
    x = 123.47

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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.