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Finding the Fourth Proportional to 226.03, 311.89 and 131.49

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Solution

The fourth proportional to 226.03, 311.89 and 131.49 is: 181.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.03 : 311.89 = 131.49 : x
  2. Step 2: Convert to fraction form
    226.03/311.89 = 131.49/x
  3. Step 3: Cross multiply
    226.03x = 311.89 × 131.49
  4. Step 4: Simplify right side
    226.03x = 41,010.42
  5. Step 5: Solve for x
    x = 41,010.42/226.03
  6. Step 6: Final answer
    x = 181.44

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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.