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Finding the Fourth Proportional to 206.57, 308.16 and 191.84

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Solution

The fourth proportional to 206.57, 308.16 and 191.84 is: 286.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.57 : 308.16 = 191.84 : x
  2. Step 2: Convert to fraction form
    206.57/308.16 = 191.84/x
  3. Step 3: Cross multiply
    206.57x = 308.16 × 191.84
  4. Step 4: Simplify right side
    206.57x = 59,115.87
  5. Step 5: Solve for x
    x = 59,115.87/206.57
  6. Step 6: Final answer
    x = 286.19

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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.