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Finding the Fourth Proportional to 204.44, 308.20 and 191.22

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Solution

The fourth proportional to 204.44, 308.20 and 191.22 is: 288.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.44 : 308.20 = 191.22 : x
  2. Step 2: Convert to fraction form
    204.44/308.20 = 191.22/x
  3. Step 3: Cross multiply
    204.44x = 308.20 × 191.22
  4. Step 4: Simplify right side
    204.44x = 58,934.16
  5. Step 5: Solve for x
    x = 58,934.16/204.44
  6. Step 6: Final answer
    x = 288.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.