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Finding the Fourth Proportional to 196.96, 270.36 and 186.16

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Solution

The fourth proportional to 196.96, 270.36 and 186.16 is: 255.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.96 : 270.36 = 186.16 : x
  2. Step 2: Convert to fraction form
    196.96/270.36 = 186.16/x
  3. Step 3: Cross multiply
    196.96x = 270.36 × 186.16
  4. Step 4: Simplify right side
    196.96x = 50,330.22
  5. Step 5: Solve for x
    x = 50,330.22/196.96
  6. Step 6: Final answer
    x = 255.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.