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Finding the Fourth Proportional to 263.38, 396.85 and 218.72

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Solution

The fourth proportional to 263.38, 396.85 and 218.72 is: 329.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.38 : 396.85 = 218.72 : x
  2. Step 2: Convert to fraction form
    263.38/396.85 = 218.72/x
  3. Step 3: Cross multiply
    263.38x = 396.85 × 218.72
  4. Step 4: Simplify right side
    263.38x = 86,800.22
  5. Step 5: Solve for x
    x = 86,800.22/263.38
  6. Step 6: Final answer
    x = 329.57

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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.