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Finding the Fourth Proportional to 206.75, 311.45 and 188.73

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Solution

The fourth proportional to 206.75, 311.45 and 188.73 is: 284.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.75 : 311.45 = 188.73 : x
  2. Step 2: Convert to fraction form
    206.75/311.45 = 188.73/x
  3. Step 3: Cross multiply
    206.75x = 311.45 × 188.73
  4. Step 4: Simplify right side
    206.75x = 58,779.01
  5. Step 5: Solve for x
    x = 58,779.01/206.75
  6. Step 6: Final answer
    x = 284.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.