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Finding the Fourth Proportional to 207.20, 286.80 and 189.92

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Solution

The fourth proportional to 207.20, 286.80 and 189.92 is: 262.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.20 : 286.80 = 189.92 : x
  2. Step 2: Convert to fraction form
    207.20/286.80 = 189.92/x
  3. Step 3: Cross multiply
    207.20x = 286.80 × 189.92
  4. Step 4: Simplify right side
    207.20x = 54,469.06
  5. Step 5: Solve for x
    x = 54,469.06/207.20
  6. Step 6: Final answer
    x = 262.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.