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Finding the Fourth Proportional to 241.17, 363.05 and 207.68

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Solution

The fourth proportional to 241.17, 363.05 and 207.68 is: 312.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.17 : 363.05 = 207.68 : x
  2. Step 2: Convert to fraction form
    241.17/363.05 = 207.68/x
  3. Step 3: Cross multiply
    241.17x = 363.05 × 207.68
  4. Step 4: Simplify right side
    241.17x = 75,398.09
  5. Step 5: Solve for x
    x = 75,398.09/241.17
  6. Step 6: Final answer
    x = 312.63

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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.