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Finding the Fourth Proportional to 198.98, 274.50 and 116.09

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Solution

The fourth proportional to 198.98, 274.50 and 116.09 is: 160.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.98 : 274.50 = 116.09 : x
  2. Step 2: Convert to fraction form
    198.98/274.50 = 116.09/x
  3. Step 3: Cross multiply
    198.98x = 274.50 × 116.09
  4. Step 4: Simplify right side
    198.98x = 31,866.71
  5. Step 5: Solve for x
    x = 31,866.71/198.98
  6. Step 6: Final answer
    x = 160.15

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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.