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Finding the Fourth Proportional to 206.69, 308.07 and 200.00

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Solution

The fourth proportional to 206.69, 308.07 and 200.00 is: 298.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.69 : 308.07 = 200.00 : x
  2. Step 2: Convert to fraction form
    206.69/308.07 = 200.00/x
  3. Step 3: Cross multiply
    206.69x = 308.07 × 200.00
  4. Step 4: Simplify right side
    206.69x = 61,614.77
  5. Step 5: Solve for x
    x = 61,614.77/206.69
  6. Step 6: Final answer
    x = 298.11

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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.