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Finding the Fourth Proportional to 196.30, 270.74 and 137.27

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Solution

The fourth proportional to 196.30, 270.74 and 137.27 is: 189.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.30 : 270.74 = 137.27 : x
  2. Step 2: Convert to fraction form
    196.30/270.74 = 137.27/x
  3. Step 3: Cross multiply
    196.30x = 270.74 × 137.27
  4. Step 4: Simplify right side
    196.30x = 37,162.44
  5. Step 5: Solve for x
    x = 37,162.44/196.30
  6. Step 6: Final answer
    x = 189.31

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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.