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Finding the Fourth Proportional to 206.70, 309.86 and 76.67

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Solution

The fourth proportional to 206.70, 309.86 and 76.67 is: 114.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.70 : 309.86 = 76.67 : x
  2. Step 2: Convert to fraction form
    206.70/309.86 = 76.67/x
  3. Step 3: Cross multiply
    206.70x = 309.86 × 76.67
  4. Step 4: Simplify right side
    206.70x = 23,756.97
  5. Step 5: Solve for x
    x = 23,756.97/206.70
  6. Step 6: Final answer
    x = 114.93

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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.