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Finding the Fourth Proportional to 216.89, 325.06 and 214.60

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Solution

The fourth proportional to 216.89, 325.06 and 214.60 is: 321.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.89 : 325.06 = 214.60 : x
  2. Step 2: Convert to fraction form
    216.89/325.06 = 214.60/x
  3. Step 3: Cross multiply
    216.89x = 325.06 × 214.60
  4. Step 4: Simplify right side
    216.89x = 69,757.88
  5. Step 5: Solve for x
    x = 69,757.88/216.89
  6. Step 6: Final answer
    x = 321.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.