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Finding the Fourth Proportional to 263.75, 362.97 and 216.09

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Solution

The fourth proportional to 263.75, 362.97 and 216.09 is: 297.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.75 : 362.97 = 216.09 : x
  2. Step 2: Convert to fraction form
    263.75/362.97 = 216.09/x
  3. Step 3: Cross multiply
    263.75x = 362.97 × 216.09
  4. Step 4: Simplify right side
    263.75x = 78,434.19
  5. Step 5: Solve for x
    x = 78,434.19/263.75
  6. Step 6: Final answer
    x = 297.39

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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.