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Finding the Fourth Proportional to 205.50, 305.83 and 200.94

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Solution

The fourth proportional to 205.50, 305.83 and 200.94 is: 299.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.50 : 305.83 = 200.94 : x
  2. Step 2: Convert to fraction form
    205.50/305.83 = 200.94/x
  3. Step 3: Cross multiply
    205.50x = 305.83 × 200.94
  4. Step 4: Simplify right side
    205.50x = 61,453.48
  5. Step 5: Solve for x
    x = 61,453.48/205.50
  6. Step 6: Final answer
    x = 299.04

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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.