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Finding the Fourth Proportional to 275.09, 379.24 and 187.61

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Solution

The fourth proportional to 275.09, 379.24 and 187.61 is: 258.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.09 : 379.24 = 187.61 : x
  2. Step 2: Convert to fraction form
    275.09/379.24 = 187.61/x
  3. Step 3: Cross multiply
    275.09x = 379.24 × 187.61
  4. Step 4: Simplify right side
    275.09x = 71,146.85
  5. Step 5: Solve for x
    x = 71,146.85/275.09
  6. Step 6: Final answer
    x = 258.64

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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.