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Finding the Fourth Proportional to 206.92, 307.87 and 206.21

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Solution

The fourth proportional to 206.92, 307.87 and 206.21 is: 306.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.92 : 307.87 = 206.21 : x
  2. Step 2: Convert to fraction form
    206.92/307.87 = 206.21/x
  3. Step 3: Cross multiply
    206.92x = 307.87 × 206.21
  4. Step 4: Simplify right side
    206.92x = 63,486.13
  5. Step 5: Solve for x
    x = 63,486.13/206.92
  6. Step 6: Final answer
    x = 306.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.