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Finding the Fourth Proportional to 207.31, 309.59 and 196.78

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Solution

The fourth proportional to 207.31, 309.59 and 196.78 is: 293.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.31 : 309.59 = 196.78 : x
  2. Step 2: Convert to fraction form
    207.31/309.59 = 196.78/x
  3. Step 3: Cross multiply
    207.31x = 309.59 × 196.78
  4. Step 4: Simplify right side
    207.31x = 60,921.12
  5. Step 5: Solve for x
    x = 60,921.12/207.31
  6. Step 6: Final answer
    x = 293.86

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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.