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Finding the Fourth Proportional to 207.27, 287.49 and 196.32

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Solution

The fourth proportional to 207.27, 287.49 and 196.32 is: 272.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.27 : 287.49 = 196.32 : x
  2. Step 2: Convert to fraction form
    207.27/287.49 = 196.32/x
  3. Step 3: Cross multiply
    207.27x = 287.49 × 196.32
  4. Step 4: Simplify right side
    207.27x = 56,440.04
  5. Step 5: Solve for x
    x = 56,440.04/207.27
  6. Step 6: Final answer
    x = 272.30

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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.