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Finding the Fourth Proportional to 193.73, 289.71 and 141.75

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Solution

The fourth proportional to 193.73, 289.71 and 141.75 is: 211.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.73 : 289.71 = 141.75 : x
  2. Step 2: Convert to fraction form
    193.73/289.71 = 141.75/x
  3. Step 3: Cross multiply
    193.73x = 289.71 × 141.75
  4. Step 4: Simplify right side
    193.73x = 41,066.39
  5. Step 5: Solve for x
    x = 41,066.39/193.73
  6. Step 6: Final answer
    x = 211.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.