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Finding the Fourth Proportional to 207.68, 288.52 and 205.78

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Solution

The fourth proportional to 207.68, 288.52 and 205.78 is: 285.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.68 : 288.52 = 205.78 : x
  2. Step 2: Convert to fraction form
    207.68/288.52 = 205.78/x
  3. Step 3: Cross multiply
    207.68x = 288.52 × 205.78
  4. Step 4: Simplify right side
    207.68x = 59,371.65
  5. Step 5: Solve for x
    x = 59,371.65/207.68
  6. Step 6: Final answer
    x = 285.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.