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Finding the Fourth Proportional to 214.27, 321.61 and 111.63

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Solution

The fourth proportional to 214.27, 321.61 and 111.63 is: 167.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.27 : 321.61 = 111.63 : x
  2. Step 2: Convert to fraction form
    214.27/321.61 = 111.63/x
  3. Step 3: Cross multiply
    214.27x = 321.61 × 111.63
  4. Step 4: Simplify right side
    214.27x = 35,901.60
  5. Step 5: Solve for x
    x = 35,901.60/214.27
  6. Step 6: Final answer
    x = 167.55

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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.