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Finding the Fourth Proportional to 272.44, 408.54 and 135.46

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Solution

The fourth proportional to 272.44, 408.54 and 135.46 is: 203.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.44 : 408.54 = 135.46 : x
  2. Step 2: Convert to fraction form
    272.44/408.54 = 135.46/x
  3. Step 3: Cross multiply
    272.44x = 408.54 × 135.46
  4. Step 4: Simplify right side
    272.44x = 55,340.83
  5. Step 5: Solve for x
    x = 55,340.83/272.44
  6. Step 6: Final answer
    x = 203.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.