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Finding the Fourth Proportional to 206.09, 309.02 and 97.82

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Solution

The fourth proportional to 206.09, 309.02 and 97.82 is: 146.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.09 : 309.02 = 97.82 : x
  2. Step 2: Convert to fraction form
    206.09/309.02 = 97.82/x
  3. Step 3: Cross multiply
    206.09x = 309.02 × 97.82
  4. Step 4: Simplify right side
    206.09x = 30,226.30
  5. Step 5: Solve for x
    x = 30,226.30/206.09
  6. Step 6: Final answer
    x = 146.67

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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.