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Finding the Fourth Proportional to 270.20, 372.60 and 203.97

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Solution

The fourth proportional to 270.20, 372.60 and 203.97 is: 281.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.20 : 372.60 = 203.97 : x
  2. Step 2: Convert to fraction form
    270.20/372.60 = 203.97/x
  3. Step 3: Cross multiply
    270.20x = 372.60 × 203.97
  4. Step 4: Simplify right side
    270.20x = 75,999.22
  5. Step 5: Solve for x
    x = 75,999.22/270.20
  6. Step 6: Final answer
    x = 281.28

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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.