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Finding the Fourth Proportional to 204.38, 284.04 and 202.22

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Solution

The fourth proportional to 204.38, 284.04 and 202.22 is: 281.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.38 : 284.04 = 202.22 : x
  2. Step 2: Convert to fraction form
    204.38/284.04 = 202.22/x
  3. Step 3: Cross multiply
    204.38x = 284.04 × 202.22
  4. Step 4: Simplify right side
    204.38x = 57,438.57
  5. Step 5: Solve for x
    x = 57,438.57/204.38
  6. Step 6: Final answer
    x = 281.04

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.