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Finding the Fourth Proportional to 214.21, 321.02 and 111.29

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Solution

The fourth proportional to 214.21, 321.02 and 111.29 is: 166.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.21 : 321.02 = 111.29 : x
  2. Step 2: Convert to fraction form
    214.21/321.02 = 111.29/x
  3. Step 3: Cross multiply
    214.21x = 321.02 × 111.29
  4. Step 4: Simplify right side
    214.21x = 35,725.24
  5. Step 5: Solve for x
    x = 35,725.24/214.21
  6. Step 6: Final answer
    x = 166.78

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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.