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Finding the Fourth Proportional to 226.47, 338.32 and 180.91

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Solution

The fourth proportional to 226.47, 338.32 and 180.91 is: 270.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.47 : 338.32 = 180.91 : x
  2. Step 2: Convert to fraction form
    226.47/338.32 = 180.91/x
  3. Step 3: Cross multiply
    226.47x = 338.32 × 180.91
  4. Step 4: Simplify right side
    226.47x = 61,205.47
  5. Step 5: Solve for x
    x = 61,205.47/226.47
  6. Step 6: Final answer
    x = 270.26

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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.