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Finding the Fourth Proportional to 275.25, 379.71 and 209.73

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Solution

The fourth proportional to 275.25, 379.71 and 209.73 is: 289.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.25 : 379.71 = 209.73 : x
  2. Step 2: Convert to fraction form
    275.25/379.71 = 209.73/x
  3. Step 3: Cross multiply
    275.25x = 379.71 × 209.73
  4. Step 4: Simplify right side
    275.25x = 79,636.58
  5. Step 5: Solve for x
    x = 79,636.58/275.25
  6. Step 6: Final answer
    x = 289.32

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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.