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Finding the Fourth Proportional to 275.31, 379.94 and 213.03

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Solution

The fourth proportional to 275.31, 379.94 and 213.03 is: 293.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.31 : 379.94 = 213.03 : x
  2. Step 2: Convert to fraction form
    275.31/379.94 = 213.03/x
  3. Step 3: Cross multiply
    275.31x = 379.94 × 213.03
  4. Step 4: Simplify right side
    275.31x = 80,937.55
  5. Step 5: Solve for x
    x = 80,937.55/275.31
  6. Step 6: Final answer
    x = 293.99

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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.