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Finding the Fourth Proportional to 226.26, 340.15 and 181.10

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Solution

The fourth proportional to 226.26, 340.15 and 181.10 is: 272.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.26 : 340.15 = 181.10 : x
  2. Step 2: Convert to fraction form
    226.26/340.15 = 181.10/x
  3. Step 3: Cross multiply
    226.26x = 340.15 × 181.10
  4. Step 4: Simplify right side
    226.26x = 61,601.56
  5. Step 5: Solve for x
    x = 61,601.56/226.26
  6. Step 6: Final answer
    x = 272.26

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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.