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Finding the Fourth Proportional to 272.56, 376.20 and 203.44

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Solution

The fourth proportional to 272.56, 376.20 and 203.44 is: 280.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.56 : 376.20 = 203.44 : x
  2. Step 2: Convert to fraction form
    272.56/376.20 = 203.44/x
  3. Step 3: Cross multiply
    272.56x = 376.20 × 203.44
  4. Step 4: Simplify right side
    272.56x = 76,534.13
  5. Step 5: Solve for x
    x = 76,534.13/272.56
  6. Step 6: Final answer
    x = 280.80

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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.