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Finding the Fourth Proportional to 206.05, 309.14 and 97.91

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Solution

The fourth proportional to 206.05, 309.14 and 97.91 is: 146.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.05 : 309.14 = 97.91 : x
  2. Step 2: Convert to fraction form
    206.05/309.14 = 97.91/x
  3. Step 3: Cross multiply
    206.05x = 309.14 × 97.91
  4. Step 4: Simplify right side
    206.05x = 30,267.41
  5. Step 5: Solve for x
    x = 30,267.41/206.05
  6. Step 6: Final answer
    x = 146.90

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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.