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Finding the Fourth Proportional to 204.87, 304.89 and 198.30

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Solution

The fourth proportional to 204.87, 304.89 and 198.30 is: 295.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.87 : 304.89 = 198.30 : x
  2. Step 2: Convert to fraction form
    204.87/304.89 = 198.30/x
  3. Step 3: Cross multiply
    204.87x = 304.89 × 198.30
  4. Step 4: Simplify right side
    204.87x = 60,459.69
  5. Step 5: Solve for x
    x = 60,459.69/204.87
  6. Step 6: Final answer
    x = 295.11

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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.