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Finding the Fourth Proportional to 243.37, 366.46 and 200.44

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Solution

The fourth proportional to 243.37, 366.46 and 200.44 is: 301.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.37 : 366.46 = 200.44 : x
  2. Step 2: Convert to fraction form
    243.37/366.46 = 200.44/x
  3. Step 3: Cross multiply
    243.37x = 366.46 × 200.44
  4. Step 4: Simplify right side
    243.37x = 73,453.24
  5. Step 5: Solve for x
    x = 73,453.24/243.37
  6. Step 6: Final answer
    x = 301.82

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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.