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Finding the Fourth Proportional to 204.87, 305.28 and 197.13

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Solution

The fourth proportional to 204.87, 305.28 and 197.13 is: 293.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.87 : 305.28 = 197.13 : x
  2. Step 2: Convert to fraction form
    204.87/305.28 = 197.13/x
  3. Step 3: Cross multiply
    204.87x = 305.28 × 197.13
  4. Step 4: Simplify right side
    204.87x = 60,179.85
  5. Step 5: Solve for x
    x = 60,179.85/204.87
  6. Step 6: Final answer
    x = 293.75

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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.