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Finding the Fourth Proportional to 224.72, 335.78 and 181.20

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Solution

The fourth proportional to 224.72, 335.78 and 181.20 is: 270.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.72 : 335.78 = 181.20 : x
  2. Step 2: Convert to fraction form
    224.72/335.78 = 181.20/x
  3. Step 3: Cross multiply
    224.72x = 335.78 × 181.20
  4. Step 4: Simplify right side
    224.72x = 60,843.34
  5. Step 5: Solve for x
    x = 60,843.34/224.72
  6. Step 6: Final answer
    x = 270.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.