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Finding the Fourth Proportional to 226.19, 338.71 and 144.78

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Solution

The fourth proportional to 226.19, 338.71 and 144.78 is: 216.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.19 : 338.71 = 144.78 : x
  2. Step 2: Convert to fraction form
    226.19/338.71 = 144.78/x
  3. Step 3: Cross multiply
    226.19x = 338.71 × 144.78
  4. Step 4: Simplify right side
    226.19x = 49,038.43
  5. Step 5: Solve for x
    x = 49,038.43/226.19
  6. Step 6: Final answer
    x = 216.80

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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.