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Finding the Fourth Proportional to 206.30, 282.15 and 200.90

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Solution

The fourth proportional to 206.30, 282.15 and 200.90 is: 274.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.30 : 282.15 = 200.90 : x
  2. Step 2: Convert to fraction form
    206.30/282.15 = 200.90/x
  3. Step 3: Cross multiply
    206.30x = 282.15 × 200.90
  4. Step 4: Simplify right side
    206.30x = 56,682.93
  5. Step 5: Solve for x
    x = 56,682.93/206.30
  6. Step 6: Final answer
    x = 274.76

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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.