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Finding the Fourth Proportional to 196.92, 272.75 and 185.08

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Solution

The fourth proportional to 196.92, 272.75 and 185.08 is: 256.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.92 : 272.75 = 185.08 : x
  2. Step 2: Convert to fraction form
    196.92/272.75 = 185.08/x
  3. Step 3: Cross multiply
    196.92x = 272.75 × 185.08
  4. Step 4: Simplify right side
    196.92x = 50,480.57
  5. Step 5: Solve for x
    x = 50,480.57/196.92
  6. Step 6: Final answer
    x = 256.35

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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.