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Finding the Fourth Proportional to 250.86, 344.71 and 204.12

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Solution

The fourth proportional to 250.86, 344.71 and 204.12 is: 280.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.86 : 344.71 = 204.12 : x
  2. Step 2: Convert to fraction form
    250.86/344.71 = 204.12/x
  3. Step 3: Cross multiply
    250.86x = 344.71 × 204.12
  4. Step 4: Simplify right side
    250.86x = 70,361.31
  5. Step 5: Solve for x
    x = 70,361.31/250.86
  6. Step 6: Final answer
    x = 280.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.