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Finding the Fourth Proportional to 263.97, 362.76 and 217.26

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Solution

The fourth proportional to 263.97, 362.76 and 217.26 is: 298.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.97 : 362.76 = 217.26 : x
  2. Step 2: Convert to fraction form
    263.97/362.76 = 217.26/x
  3. Step 3: Cross multiply
    263.97x = 362.76 × 217.26
  4. Step 4: Simplify right side
    263.97x = 78,813.24
  5. Step 5: Solve for x
    x = 78,813.24/263.97
  6. Step 6: Final answer
    x = 298.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.