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Finding the Fourth Proportional to 275.66, 379.98 and 205.61

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Solution

The fourth proportional to 275.66, 379.98 and 205.61 is: 283.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.66 : 379.98 = 205.61 : x
  2. Step 2: Convert to fraction form
    275.66/379.98 = 205.61/x
  3. Step 3: Cross multiply
    275.66x = 379.98 × 205.61
  4. Step 4: Simplify right side
    275.66x = 78,127.69
  5. Step 5: Solve for x
    x = 78,127.69/275.66
  6. Step 6: Final answer
    x = 283.42

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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.