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Finding the Fourth Proportional to 193.42, 289.96 and 71.66

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Solution

The fourth proportional to 193.42, 289.96 and 71.66 is: 107.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.42 : 289.96 = 71.66 : x
  2. Step 2: Convert to fraction form
    193.42/289.96 = 71.66/x
  3. Step 3: Cross multiply
    193.42x = 289.96 × 71.66
  4. Step 4: Simplify right side
    193.42x = 20,778.53
  5. Step 5: Solve for x
    x = 20,778.53/193.42
  6. Step 6: Final answer
    x = 107.43

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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.