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Finding the Fourth Proportional to 196.06, 270.45 and 133.78

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Solution

The fourth proportional to 196.06, 270.45 and 133.78 is: 184.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.06 : 270.45 = 133.78 : x
  2. Step 2: Convert to fraction form
    196.06/270.45 = 133.78/x
  3. Step 3: Cross multiply
    196.06x = 270.45 × 133.78
  4. Step 4: Simplify right side
    196.06x = 36,181.45
  5. Step 5: Solve for x
    x = 36,181.45/196.06
  6. Step 6: Final answer
    x = 184.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.