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Finding the Fourth Proportional to 203.85, 281.43 and 141.66

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Solution

The fourth proportional to 203.85, 281.43 and 141.66 is: 195.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.85 : 281.43 = 141.66 : x
  2. Step 2: Convert to fraction form
    203.85/281.43 = 141.66/x
  3. Step 3: Cross multiply
    203.85x = 281.43 × 141.66
  4. Step 4: Simplify right side
    203.85x = 39,867.37
  5. Step 5: Solve for x
    x = 39,867.37/203.85
  6. Step 6: Final answer
    x = 195.57

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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.