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Finding the Fourth Proportional to 241.22, 360.28 and 208.82

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Solution

The fourth proportional to 241.22, 360.28 and 208.82 is: 311.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.22 : 360.28 = 208.82 : x
  2. Step 2: Convert to fraction form
    241.22/360.28 = 208.82/x
  3. Step 3: Cross multiply
    241.22x = 360.28 × 208.82
  4. Step 4: Simplify right side
    241.22x = 75,231.35
  5. Step 5: Solve for x
    x = 75,231.35/241.22
  6. Step 6: Final answer
    x = 311.89

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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.