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Finding the Fourth Proportional to 204.96, 282 and 199.21

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Solution

The fourth proportional to 204.96, 282 and 199.21 is: 274.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.96 : 282 = 199.21 : x
  2. Step 2: Convert to fraction form
    204.96/282 = 199.21/x
  3. Step 3: Cross multiply
    204.96x = 282 × 199.21
  4. Step 4: Simplify right side
    204.96x = 56,177.22
  5. Step 5: Solve for x
    x = 56,177.22/204.96
  6. Step 6: Final answer
    x = 274.09

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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.