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Finding the Fourth Proportional to 206.99, 308.62 and 199.83

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Solution

The fourth proportional to 206.99, 308.62 and 199.83 is: 297.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.99 : 308.62 = 199.83 : x
  2. Step 2: Convert to fraction form
    206.99/308.62 = 199.83/x
  3. Step 3: Cross multiply
    206.99x = 308.62 × 199.83
  4. Step 4: Simplify right side
    206.99x = 61,670.54
  5. Step 5: Solve for x
    x = 61,670.54/206.99
  6. Step 6: Final answer
    x = 297.95

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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.