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Finding the Fourth Proportional to 193.75, 267.21 and 141.31

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Solution

The fourth proportional to 193.75, 267.21 and 141.31 is: 194.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.75 : 267.21 = 141.31 : x
  2. Step 2: Convert to fraction form
    193.75/267.21 = 141.31/x
  3. Step 3: Cross multiply
    193.75x = 267.21 × 141.31
  4. Step 4: Simplify right side
    193.75x = 37,759.45
  5. Step 5: Solve for x
    x = 37,759.45/193.75
  6. Step 6: Final answer
    x = 194.89

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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.