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Finding the Fourth Proportional to 214.68, 323.39 and 213.60

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Solution

The fourth proportional to 214.68, 323.39 and 213.60 is: 321.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.68 : 323.39 = 213.60 : x
  2. Step 2: Convert to fraction form
    214.68/323.39 = 213.60/x
  3. Step 3: Cross multiply
    214.68x = 323.39 × 213.60
  4. Step 4: Simplify right side
    214.68x = 69,076.10
  5. Step 5: Solve for x
    x = 69,076.10/214.68
  6. Step 6: Final answer
    x = 321.76

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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.