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Finding the Fourth Proportional to 196.74, 270.89 and 178.29

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Solution

The fourth proportional to 196.74, 270.89 and 178.29 is: 245.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.74 : 270.89 = 178.29 : x
  2. Step 2: Convert to fraction form
    196.74/270.89 = 178.29/x
  3. Step 3: Cross multiply
    196.74x = 270.89 × 178.29
  4. Step 4: Simplify right side
    196.74x = 48,296.09
  5. Step 5: Solve for x
    x = 48,296.09/196.74
  6. Step 6: Final answer
    x = 245.48

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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.