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Finding the Fourth Proportional to 250.43, 373.96 and 198.49

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Solution

The fourth proportional to 250.43, 373.96 and 198.49 is: 296.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.43 : 373.96 = 198.49 : x
  2. Step 2: Convert to fraction form
    250.43/373.96 = 198.49/x
  3. Step 3: Cross multiply
    250.43x = 373.96 × 198.49
  4. Step 4: Simplify right side
    250.43x = 74,226.33
  5. Step 5: Solve for x
    x = 74,226.33/250.43
  6. Step 6: Final answer
    x = 296.40

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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.