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Finding the Fourth Proportional to 272.52, 376.34 and 217.08

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Solution

The fourth proportional to 272.52, 376.34 and 217.08 is: 299.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.52 : 376.34 = 217.08 : x
  2. Step 2: Convert to fraction form
    272.52/376.34 = 217.08/x
  3. Step 3: Cross multiply
    272.52x = 376.34 × 217.08
  4. Step 4: Simplify right side
    272.52x = 81,694.80
  5. Step 5: Solve for x
    x = 81,694.80/272.52
  6. Step 6: Final answer
    x = 299.78

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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.