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Finding the Fourth Proportional to 206.72, 309.87 and 76.62

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Solution

The fourth proportional to 206.72, 309.87 and 76.62 is: 114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.72 : 309.87 = 76.62 : x
  2. Step 2: Convert to fraction form
    206.72/309.87 = 76.62/x
  3. Step 3: Cross multiply
    206.72x = 309.87 × 76.62
  4. Step 4: Simplify right side
    206.72x = 23,742.24
  5. Step 5: Solve for x
    x = 23,742.24/206.72
  6. Step 6: Final answer
    x = 114.85

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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.