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Finding the Fourth Proportional to 272.44, 408.46 and 118.36

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Solution

The fourth proportional to 272.44, 408.46 and 118.36 is: 177.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.44 : 408.46 = 118.36 : x
  2. Step 2: Convert to fraction form
    272.44/408.46 = 118.36/x
  3. Step 3: Cross multiply
    272.44x = 408.46 × 118.36
  4. Step 4: Simplify right side
    272.44x = 48,345.33
  5. Step 5: Solve for x
    x = 48,345.33/272.44
  6. Step 6: Final answer
    x = 177.45

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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.