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Finding the Fourth Proportional to 204.50, 304.35 and 199.94

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Solution

The fourth proportional to 204.50, 304.35 and 199.94 is: 297.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.50 : 304.35 = 199.94 : x
  2. Step 2: Convert to fraction form
    204.50/304.35 = 199.94/x
  3. Step 3: Cross multiply
    204.50x = 304.35 × 199.94
  4. Step 4: Simplify right side
    204.50x = 60,850.74
  5. Step 5: Solve for x
    x = 60,850.74/204.50
  6. Step 6: Final answer
    x = 297.56

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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.