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Finding the Fourth Proportional to 204.35, 305.81 and 140.27

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Solution

The fourth proportional to 204.35, 305.81 and 140.27 is: 209.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.35 : 305.81 = 140.27 : x
  2. Step 2: Convert to fraction form
    204.35/305.81 = 140.27/x
  3. Step 3: Cross multiply
    204.35x = 305.81 × 140.27
  4. Step 4: Simplify right side
    204.35x = 42,895.27
  5. Step 5: Solve for x
    x = 42,895.27/204.35
  6. Step 6: Final answer
    x = 209.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.