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Finding the Fourth Proportional to 243.44, 366.61 and 205.17

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Solution

The fourth proportional to 243.44, 366.61 and 205.17 is: 308.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.44 : 366.61 = 205.17 : x
  2. Step 2: Convert to fraction form
    243.44/366.61 = 205.17/x
  3. Step 3: Cross multiply
    243.44x = 366.61 × 205.17
  4. Step 4: Simplify right side
    243.44x = 75,216.35
  5. Step 5: Solve for x
    x = 75,216.35/243.44
  6. Step 6: Final answer
    x = 308.97

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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.