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Finding the Fourth Proportional to 204.54, 304.85 and 200.90

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Solution

The fourth proportional to 204.54, 304.85 and 200.90 is: 299.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.54 : 304.85 = 200.90 : x
  2. Step 2: Convert to fraction form
    204.54/304.85 = 200.90/x
  3. Step 3: Cross multiply
    204.54x = 304.85 × 200.90
  4. Step 4: Simplify right side
    204.54x = 61,241.84
  5. Step 5: Solve for x
    x = 61,241.84/204.54
  6. Step 6: Final answer
    x = 299.41

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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.