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Finding the Fourth Proportional to 226.13, 338.89 and 117.70

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Solution

The fourth proportional to 226.13, 338.89 and 117.70 is: 176.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.13 : 338.89 = 117.70 : x
  2. Step 2: Convert to fraction form
    226.13/338.89 = 117.70/x
  3. Step 3: Cross multiply
    226.13x = 338.89 × 117.70
  4. Step 4: Simplify right side
    226.13x = 39,887.35
  5. Step 5: Solve for x
    x = 39,887.35/226.13
  6. Step 6: Final answer
    x = 176.39

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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.