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Finding the Fourth Proportional to 265.87, 366.82 and 222.13

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Solution

The fourth proportional to 265.87, 366.82 and 222.13 is: 306.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.87 : 366.82 = 222.13 : x
  2. Step 2: Convert to fraction form
    265.87/366.82 = 222.13/x
  3. Step 3: Cross multiply
    265.87x = 366.82 × 222.13
  4. Step 4: Simplify right side
    265.87x = 81,481.73
  5. Step 5: Solve for x
    x = 81,481.73/265.87
  6. Step 6: Final answer
    x = 306.47

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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.