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Finding the Fourth Proportional to 199.66, 298.28 and 167.26

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Solution

The fourth proportional to 199.66, 298.28 and 167.26 is: 249.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.66 : 298.28 = 167.26 : x
  2. Step 2: Convert to fraction form
    199.66/298.28 = 167.26/x
  3. Step 3: Cross multiply
    199.66x = 298.28 × 167.26
  4. Step 4: Simplify right side
    199.66x = 49,890.31
  5. Step 5: Solve for x
    x = 49,890.31/199.66
  6. Step 6: Final answer
    x = 249.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.