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Finding the Fourth Proportional to 207.68, 284.44 and 196.50

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Solution

The fourth proportional to 207.68, 284.44 and 196.50 is: 269.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.68 : 284.44 = 196.50 : x
  2. Step 2: Convert to fraction form
    207.68/284.44 = 196.50/x
  3. Step 3: Cross multiply
    207.68x = 284.44 × 196.50
  4. Step 4: Simplify right side
    207.68x = 55,892.46
  5. Step 5: Solve for x
    x = 55,892.46/207.68
  6. Step 6: Final answer
    x = 269.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.