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Finding the Fourth Proportional to 243.17, 363.15 and 241.61

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Solution

The fourth proportional to 243.17, 363.15 and 241.61 is: 360.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.17 : 363.15 = 241.61 : x
  2. Step 2: Convert to fraction form
    243.17/363.15 = 241.61/x
  3. Step 3: Cross multiply
    243.17x = 363.15 × 241.61
  4. Step 4: Simplify right side
    243.17x = 87,738.86
  5. Step 5: Solve for x
    x = 87,738.86/243.17
  6. Step 6: Final answer
    x = 360.82

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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.