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Finding the Fourth Proportional to 198.69, 274.29 and 157.11

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Solution

The fourth proportional to 198.69, 274.29 and 157.11 is: 216.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.69 : 274.29 = 157.11 : x
  2. Step 2: Convert to fraction form
    198.69/274.29 = 157.11/x
  3. Step 3: Cross multiply
    198.69x = 274.29 × 157.11
  4. Step 4: Simplify right side
    198.69x = 43,093.70
  5. Step 5: Solve for x
    x = 43,093.70/198.69
  6. Step 6: Final answer
    x = 216.89

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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.