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Finding the Fourth Proportional to 206.70, 308.76 and 199.14

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Solution

The fourth proportional to 206.70, 308.76 and 199.14 is: 297.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.70 : 308.76 = 199.14 : x
  2. Step 2: Convert to fraction form
    206.70/308.76 = 199.14/x
  3. Step 3: Cross multiply
    206.70x = 308.76 × 199.14
  4. Step 4: Simplify right side
    206.70x = 61,486.47
  5. Step 5: Solve for x
    x = 61,486.47/206.70
  6. Step 6: Final answer
    x = 297.47

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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.