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Finding the Fourth Proportional to 193.27, 289.44 and 111.86

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Solution

The fourth proportional to 193.27, 289.44 and 111.86 is: 167.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.27 : 289.44 = 111.86 : x
  2. Step 2: Convert to fraction form
    193.27/289.44 = 111.86/x
  3. Step 3: Cross multiply
    193.27x = 289.44 × 111.86
  4. Step 4: Simplify right side
    193.27x = 32,378.02
  5. Step 5: Solve for x
    x = 32,378.02/193.27
  6. Step 6: Final answer
    x = 167.53

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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.