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Finding the Fourth Proportional to 272.92, 376.78 and 199.40

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Solution

The fourth proportional to 272.92, 376.78 and 199.40 is: 275.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.92 : 376.78 = 199.40 : x
  2. Step 2: Convert to fraction form
    272.92/376.78 = 199.40/x
  3. Step 3: Cross multiply
    272.92x = 376.78 × 199.40
  4. Step 4: Simplify right side
    272.92x = 75,129.93
  5. Step 5: Solve for x
    x = 75,129.93/272.92
  6. Step 6: Final answer
    x = 275.28

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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.