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Finding the Fourth Proportional to 204.72, 282.04 and 192.97

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Solution

The fourth proportional to 204.72, 282.04 and 192.97 is: 265.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.72 : 282.04 = 192.97 : x
  2. Step 2: Convert to fraction form
    204.72/282.04 = 192.97/x
  3. Step 3: Cross multiply
    204.72x = 282.04 × 192.97
  4. Step 4: Simplify right side
    204.72x = 54,425.26
  5. Step 5: Solve for x
    x = 54,425.26/204.72
  6. Step 6: Final answer
    x = 265.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.