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Finding the Fourth Proportional to 206.88, 308.70 and 189.60

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Solution

The fourth proportional to 206.88, 308.70 and 189.60 is: 282.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.88 : 308.70 = 189.60 : x
  2. Step 2: Convert to fraction form
    206.88/308.70 = 189.60/x
  3. Step 3: Cross multiply
    206.88x = 308.70 × 189.60
  4. Step 4: Simplify right side
    206.88x = 58,529.52
  5. Step 5: Solve for x
    x = 58,529.52/206.88
  6. Step 6: Final answer
    x = 282.92

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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.