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Finding the Fourth Proportional to 204.46, 304.87 and 200.81

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Solution

The fourth proportional to 204.46, 304.87 and 200.81 is: 299.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.46 : 304.87 = 200.81 : x
  2. Step 2: Convert to fraction form
    204.46/304.87 = 200.81/x
  3. Step 3: Cross multiply
    204.46x = 304.87 × 200.81
  4. Step 4: Simplify right side
    204.46x = 61,221.20
  5. Step 5: Solve for x
    x = 61,221.20/204.46
  6. Step 6: Final answer
    x = 299.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.