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Finding the Fourth Proportional to 241.92, 364.17 and 208.43

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Solution

The fourth proportional to 241.92, 364.17 and 208.43 is: 313.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.92 : 364.17 = 208.43 : x
  2. Step 2: Convert to fraction form
    241.92/364.17 = 208.43/x
  3. Step 3: Cross multiply
    241.92x = 364.17 × 208.43
  4. Step 4: Simplify right side
    241.92x = 75,902.13
  5. Step 5: Solve for x
    x = 75,902.13/241.92
  6. Step 6: Final answer
    x = 313.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.