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Finding the Fourth Proportional to 226.52, 339.24 and 180.74

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Solution

The fourth proportional to 226.52, 339.24 and 180.74 is: 270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.52 : 339.24 = 180.74 : x
  2. Step 2: Convert to fraction form
    226.52/339.24 = 180.74/x
  3. Step 3: Cross multiply
    226.52x = 339.24 × 180.74
  4. Step 4: Simplify right side
    226.52x = 61,314.24
  5. Step 5: Solve for x
    x = 61,314.24/226.52
  6. Step 6: Final answer
    x = 270.68

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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.