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Finding the Fourth Proportional to 196.97, 293.83 and 171.32

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Solution

The fourth proportional to 196.97, 293.83 and 171.32 is: 255.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.97 : 293.83 = 171.32 : x
  2. Step 2: Convert to fraction form
    196.97/293.83 = 171.32/x
  3. Step 3: Cross multiply
    196.97x = 293.83 × 171.32
  4. Step 4: Simplify right side
    196.97x = 50,337.06
  5. Step 5: Solve for x
    x = 50,337.06/196.97
  6. Step 6: Final answer
    x = 255.56

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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.