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Finding the Fourth Proportional to 198.65, 274.38 and 167.67

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Solution

The fourth proportional to 198.65, 274.38 and 167.67 is: 231.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.65 : 274.38 = 167.67 : x
  2. Step 2: Convert to fraction form
    198.65/274.38 = 167.67/x
  3. Step 3: Cross multiply
    198.65x = 274.38 × 167.67
  4. Step 4: Simplify right side
    198.65x = 46,005.29
  5. Step 5: Solve for x
    x = 46,005.29/198.65
  6. Step 6: Final answer
    x = 231.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.