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Finding the Fourth Proportional to 241.77, 333.68 and 204.78

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Solution

The fourth proportional to 241.77, 333.68 and 204.78 is: 282.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.77 : 333.68 = 204.78 : x
  2. Step 2: Convert to fraction form
    241.77/333.68 = 204.78/x
  3. Step 3: Cross multiply
    241.77x = 333.68 × 204.78
  4. Step 4: Simplify right side
    241.77x = 68,329.97
  5. Step 5: Solve for x
    x = 68,329.97/241.77
  6. Step 6: Final answer
    x = 282.62

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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.