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Finding the Fourth Proportional to 241.89, 363.12 and 97.71

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Solution

The fourth proportional to 241.89, 363.12 and 97.71 is: 146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.89 : 363.12 = 97.71 : x
  2. Step 2: Convert to fraction form
    241.89/363.12 = 97.71/x
  3. Step 3: Cross multiply
    241.89x = 363.12 × 97.71
  4. Step 4: Simplify right side
    241.89x = 35,480.46
  5. Step 5: Solve for x
    x = 35,480.46/241.89
  6. Step 6: Final answer
    x = 146.68

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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.