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Finding the Fourth Proportional to 303.97, 418.74 and 241.78

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Solution

The fourth proportional to 303.97, 418.74 and 241.78 is: 333.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.97 : 418.74 = 241.78 : x
  2. Step 2: Convert to fraction form
    303.97/418.74 = 241.78/x
  3. Step 3: Cross multiply
    303.97x = 418.74 × 241.78
  4. Step 4: Simplify right side
    303.97x = 101,240.86
  5. Step 5: Solve for x
    x = 101,240.86/303.97
  6. Step 6: Final answer
    x = 333.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.