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Finding the Fourth Proportional to 275.05, 379.49 and 158.61

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Solution

The fourth proportional to 275.05, 379.49 and 158.61 is: 218.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.05 : 379.49 = 158.61 : x
  2. Step 2: Convert to fraction form
    275.05/379.49 = 158.61/x
  3. Step 3: Cross multiply
    275.05x = 379.49 × 158.61
  4. Step 4: Simplify right side
    275.05x = 60,190.91
  5. Step 5: Solve for x
    x = 60,190.91/275.05
  6. Step 6: Final answer
    x = 218.84

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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.