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Finding the Fourth Proportional to 263.68, 396.96 and 218.24

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Solution

The fourth proportional to 263.68, 396.96 and 218.24 is: 328.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.68 : 396.96 = 218.24 : x
  2. Step 2: Convert to fraction form
    263.68/396.96 = 218.24/x
  3. Step 3: Cross multiply
    263.68x = 396.96 × 218.24
  4. Step 4: Simplify right side
    263.68x = 86,632.55
  5. Step 5: Solve for x
    x = 86,632.55/263.68
  6. Step 6: Final answer
    x = 328.55

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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.