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Finding the Fourth Proportional to 204.80, 306.80 and 190.40

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Solution

The fourth proportional to 204.80, 306.80 and 190.40 is: 285.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.80 : 306.80 = 190.40 : x
  2. Step 2: Convert to fraction form
    204.80/306.80 = 190.40/x
  3. Step 3: Cross multiply
    204.80x = 306.80 × 190.40
  4. Step 4: Simplify right side
    204.80x = 58,414.72
  5. Step 5: Solve for x
    x = 58,414.72/204.80
  6. Step 6: Final answer
    x = 285.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.