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Finding the Fourth Proportional to 250.80, 374.52 and 198.86

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Solution

The fourth proportional to 250.80, 374.52 and 198.86 is: 296.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.80 : 374.52 = 198.86 : x
  2. Step 2: Convert to fraction form
    250.80/374.52 = 198.86/x
  3. Step 3: Cross multiply
    250.80x = 374.52 × 198.86
  4. Step 4: Simplify right side
    250.80x = 74,477.05
  5. Step 5: Solve for x
    x = 74,477.05/250.80
  6. Step 6: Final answer
    x = 296.96

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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.