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Finding the Fourth Proportional to 272.68, 376.74 and 217.96

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Solution

The fourth proportional to 272.68, 376.74 and 217.96 is: 301.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.68 : 376.74 = 217.96 : x
  2. Step 2: Convert to fraction form
    272.68/376.74 = 217.96/x
  3. Step 3: Cross multiply
    272.68x = 376.74 × 217.96
  4. Step 4: Simplify right side
    272.68x = 82,114.25
  5. Step 5: Solve for x
    x = 82,114.25/272.68
  6. Step 6: Final answer
    x = 301.14

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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.