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Finding the Fourth Proportional to 241.39, 360.19 and 226.70

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Solution

The fourth proportional to 241.39, 360.19 and 226.70 is: 338.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.39 : 360.19 = 226.70 : x
  2. Step 2: Convert to fraction form
    241.39/360.19 = 226.70/x
  3. Step 3: Cross multiply
    241.39x = 360.19 × 226.70
  4. Step 4: Simplify right side
    241.39x = 81,655.07
  5. Step 5: Solve for x
    x = 81,655.07/241.39
  6. Step 6: Final answer
    x = 338.27

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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.