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Finding the Fourth Proportional to 199.55, 298.96 and 112.79

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Solution

The fourth proportional to 199.55, 298.96 and 112.79 is: 168.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.55 : 298.96 = 112.79 : x
  2. Step 2: Convert to fraction form
    199.55/298.96 = 112.79/x
  3. Step 3: Cross multiply
    199.55x = 298.96 × 112.79
  4. Step 4: Simplify right side
    199.55x = 33,720.16
  5. Step 5: Solve for x
    x = 33,720.16/199.55
  6. Step 6: Final answer
    x = 168.98

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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.