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Finding the Fourth Proportional to 204.21, 304.79 and 197.83

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Solution

The fourth proportional to 204.21, 304.79 and 197.83 is: 295.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.21 : 304.79 = 197.83 : x
  2. Step 2: Convert to fraction form
    204.21/304.79 = 197.83/x
  3. Step 3: Cross multiply
    204.21x = 304.79 × 197.83
  4. Step 4: Simplify right side
    204.21x = 60,296.61
  5. Step 5: Solve for x
    x = 60,296.61/204.21
  6. Step 6: Final answer
    x = 295.27

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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.