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Finding the Fourth Proportional to 204.62, 304.16 and 199.09

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Solution

The fourth proportional to 204.62, 304.16 and 199.09 is: 295.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.62 : 304.16 = 199.09 : x
  2. Step 2: Convert to fraction form
    204.62/304.16 = 199.09/x
  3. Step 3: Cross multiply
    204.62x = 304.16 × 199.09
  4. Step 4: Simplify right side
    204.62x = 60,552.70
  5. Step 5: Solve for x
    x = 60,552.70/204.62
  6. Step 6: Final answer
    x = 295.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.