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Finding the Fourth Proportional to 243.19, 366.23 and 204.92

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Solution

The fourth proportional to 243.19, 366.23 and 204.92 is: 308.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.19 : 366.23 = 204.92 : x
  2. Step 2: Convert to fraction form
    243.19/366.23 = 204.92/x
  3. Step 3: Cross multiply
    243.19x = 366.23 × 204.92
  4. Step 4: Simplify right side
    243.19x = 75,047.85
  5. Step 5: Solve for x
    x = 75,047.85/243.19
  6. Step 6: Final answer
    x = 308.60

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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.