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Finding the Fourth Proportional to 204.04, 304.21 and 198.82

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Solution

The fourth proportional to 204.04, 304.21 and 198.82 is: 296.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.04 : 304.21 = 198.82 : x
  2. Step 2: Convert to fraction form
    204.04/304.21 = 198.82/x
  3. Step 3: Cross multiply
    204.04x = 304.21 × 198.82
  4. Step 4: Simplify right side
    204.04x = 60,483.03
  5. Step 5: Solve for x
    x = 60,483.03/204.04
  6. Step 6: Final answer
    x = 296.43

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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.