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Finding the Fourth Proportional to 226.40, 339.26 and 177.70

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Solution

The fourth proportional to 226.40, 339.26 and 177.70 is: 266.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.40 : 339.26 = 177.70 : x
  2. Step 2: Convert to fraction form
    226.40/339.26 = 177.70/x
  3. Step 3: Cross multiply
    226.40x = 339.26 × 177.70
  4. Step 4: Simplify right side
    226.40x = 60,286.50
  5. Step 5: Solve for x
    x = 60,286.50/226.40
  6. Step 6: Final answer
    x = 266.28

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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.