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Finding the Fourth Proportional to 206.71, 308.76 and 188.48

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Solution

The fourth proportional to 206.71, 308.76 and 188.48 is: 281.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.71 : 308.76 = 188.48 : x
  2. Step 2: Convert to fraction form
    206.71/308.76 = 188.48/x
  3. Step 3: Cross multiply
    206.71x = 308.76 × 188.48
  4. Step 4: Simplify right side
    206.71x = 58,194.14
  5. Step 5: Solve for x
    x = 58,194.14/206.71
  6. Step 6: Final answer
    x = 281.53

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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.