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Finding the Fourth Proportional to 272.85, 376.88 and 199.05

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Solution

The fourth proportional to 272.85, 376.88 and 199.05 is: 274.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.85 : 376.88 = 199.05 : x
  2. Step 2: Convert to fraction form
    272.85/376.88 = 199.05/x
  3. Step 3: Cross multiply
    272.85x = 376.88 × 199.05
  4. Step 4: Simplify right side
    272.85x = 75,016.97
  5. Step 5: Solve for x
    x = 75,016.97/272.85
  6. Step 6: Final answer
    x = 274.94

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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.