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Finding the Fourth Proportional to 275.06, 379.61 and 163.10

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Solution

The fourth proportional to 275.06, 379.61 and 163.10 is: 225.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.06 : 379.61 = 163.10 : x
  2. Step 2: Convert to fraction form
    275.06/379.61 = 163.10/x
  3. Step 3: Cross multiply
    275.06x = 379.61 × 163.10
  4. Step 4: Simplify right side
    275.06x = 61,912.49
  5. Step 5: Solve for x
    x = 61,912.49/275.06
  6. Step 6: Final answer
    x = 225.09

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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.