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Finding the Fourth Proportional to 204.31, 280.11 and 200.67

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Solution

The fourth proportional to 204.31, 280.11 and 200.67 is: 275.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.31 : 280.11 = 200.67 : x
  2. Step 2: Convert to fraction form
    204.31/280.11 = 200.67/x
  3. Step 3: Cross multiply
    204.31x = 280.11 × 200.67
  4. Step 4: Simplify right side
    204.31x = 56,209.67
  5. Step 5: Solve for x
    x = 56,209.67/204.31
  6. Step 6: Final answer
    x = 275.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.