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Finding the Fourth Proportional to 270.06, 372.09 and 196.21

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Solution

The fourth proportional to 270.06, 372.09 and 196.21 is: 270.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.06 : 372.09 = 196.21 : x
  2. Step 2: Convert to fraction form
    270.06/372.09 = 196.21/x
  3. Step 3: Cross multiply
    270.06x = 372.09 × 196.21
  4. Step 4: Simplify right side
    270.06x = 73,007.78
  5. Step 5: Solve for x
    x = 73,007.78/270.06
  6. Step 6: Final answer
    x = 270.34

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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.