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Finding the Fourth Proportional to 204.00, 304.32 and 198.42

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Solution

The fourth proportional to 204.00, 304.32 and 198.42 is: 296.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.00 : 304.32 = 198.42 : x
  2. Step 2: Convert to fraction form
    204.00/304.32 = 198.42/x
  3. Step 3: Cross multiply
    204.00x = 304.32 × 198.42
  4. Step 4: Simplify right side
    204.00x = 60,382.78
  5. Step 5: Solve for x
    x = 60,382.78/204.00
  6. Step 6: Final answer
    x = 296.00

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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.