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Finding the Fourth Proportional to 206.08, 285.80 and 200.08

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Solution

The fourth proportional to 206.08, 285.80 and 200.08 is: 277.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.08 : 285.80 = 200.08 : x
  2. Step 2: Convert to fraction form
    206.08/285.80 = 200.08/x
  3. Step 3: Cross multiply
    206.08x = 285.80 × 200.08
  4. Step 4: Simplify right side
    206.08x = 57,182.86
  5. Step 5: Solve for x
    x = 57,182.86/206.08
  6. Step 6: Final answer
    x = 277.48

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.