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Finding the Fourth Proportional to 206.71, 308.55 and 191.69

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Solution

The fourth proportional to 206.71, 308.55 and 191.69 is: 286.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.71 : 308.55 = 191.69 : x
  2. Step 2: Convert to fraction form
    206.71/308.55 = 191.69/x
  3. Step 3: Cross multiply
    206.71x = 308.55 × 191.69
  4. Step 4: Simplify right side
    206.71x = 59,145.95
  5. Step 5: Solve for x
    x = 59,145.95/206.71
  6. Step 6: Final answer
    x = 286.13

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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.