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Finding the Fourth Proportional to 334.75, 461.94 and 203.80

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Solution

The fourth proportional to 334.75, 461.94 and 203.80 is: 281.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.75 : 461.94 = 203.80 : x
  2. Step 2: Convert to fraction form
    334.75/461.94 = 203.80/x
  3. Step 3: Cross multiply
    334.75x = 461.94 × 203.80
  4. Step 4: Simplify right side
    334.75x = 94,143.37
  5. Step 5: Solve for x
    x = 94,143.37/334.75
  6. Step 6: Final answer
    x = 281.23

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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.