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Finding the Fourth Proportional to 263.19, 396.57 and 218.54

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Solution

The fourth proportional to 263.19, 396.57 and 218.54 is: 329.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.19 : 396.57 = 218.54 : x
  2. Step 2: Convert to fraction form
    263.19/396.57 = 218.54/x
  3. Step 3: Cross multiply
    263.19x = 396.57 × 218.54
  4. Step 4: Simplify right side
    263.19x = 86,664.14
  5. Step 5: Solve for x
    x = 86,664.14/263.19
  6. Step 6: Final answer
    x = 329.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.