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Finding the Fourth Proportional to 204.59, 305.05 and 200.95

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Solution

The fourth proportional to 204.59, 305.05 and 200.95 is: 299.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.59 : 305.05 = 200.95 : x
  2. Step 2: Convert to fraction form
    204.59/305.05 = 200.95/x
  3. Step 3: Cross multiply
    204.59x = 305.05 × 200.95
  4. Step 4: Simplify right side
    204.59x = 61,298.27
  5. Step 5: Solve for x
    x = 61,298.27/204.59
  6. Step 6: Final answer
    x = 299.62

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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.