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Finding the Fourth Proportional to 196.75, 293.39 and 192.09

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Solution

The fourth proportional to 196.75, 293.39 and 192.09 is: 286.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.75 : 293.39 = 192.09 : x
  2. Step 2: Convert to fraction form
    196.75/293.39 = 192.09/x
  3. Step 3: Cross multiply
    196.75x = 293.39 × 192.09
  4. Step 4: Simplify right side
    196.75x = 56,357.29
  5. Step 5: Solve for x
    x = 56,357.29/196.75
  6. Step 6: Final answer
    x = 286.44

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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.