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Finding the Fourth Proportional to 204.42, 304.91 and 198.36

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Solution

The fourth proportional to 204.42, 304.91 and 198.36 is: 295.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.42 : 304.91 = 198.36 : x
  2. Step 2: Convert to fraction form
    204.42/304.91 = 198.36/x
  3. Step 3: Cross multiply
    204.42x = 304.91 × 198.36
  4. Step 4: Simplify right side
    204.42x = 60,480.96
  5. Step 5: Solve for x
    x = 60,480.96/204.42
  6. Step 6: Final answer
    x = 295.87

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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.