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Finding the Fourth Proportional to 216.86, 326.44 and 185.54

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Solution

The fourth proportional to 216.86, 326.44 and 185.54 is: 279.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.86 : 326.44 = 185.54 : x
  2. Step 2: Convert to fraction form
    216.86/326.44 = 185.54/x
  3. Step 3: Cross multiply
    216.86x = 326.44 × 185.54
  4. Step 4: Simplify right side
    216.86x = 60,567.68
  5. Step 5: Solve for x
    x = 60,567.68/216.86
  6. Step 6: Final answer
    x = 279.29

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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.