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Finding the Fourth Proportional to 199.42, 298.41 and 164.86

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Solution

The fourth proportional to 199.42, 298.41 and 164.86 is: 246.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.42 : 298.41 = 164.86 : x
  2. Step 2: Convert to fraction form
    199.42/298.41 = 164.86/x
  3. Step 3: Cross multiply
    199.42x = 298.41 × 164.86
  4. Step 4: Simplify right side
    199.42x = 49,195.87
  5. Step 5: Solve for x
    x = 49,195.87/199.42
  6. Step 6: Final answer
    x = 246.69

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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.