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Finding the Fourth Proportional to 193.46, 289.98 and 112.46

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Solution

The fourth proportional to 193.46, 289.98 and 112.46 is: 168.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.46 : 289.98 = 112.46 : x
  2. Step 2: Convert to fraction form
    193.46/289.98 = 112.46/x
  3. Step 3: Cross multiply
    193.46x = 289.98 × 112.46
  4. Step 4: Simplify right side
    193.46x = 32,609.70
  5. Step 5: Solve for x
    x = 32,609.70/193.46
  6. Step 6: Final answer
    x = 168.56

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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.