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Finding the Fourth Proportional to 214.60, 321.45 and 168.73

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Solution

The fourth proportional to 214.60, 321.45 and 168.73 is: 252.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.60 : 321.45 = 168.73 : x
  2. Step 2: Convert to fraction form
    214.60/321.45 = 168.73/x
  3. Step 3: Cross multiply
    214.60x = 321.45 × 168.73
  4. Step 4: Simplify right side
    214.60x = 54,238.26
  5. Step 5: Solve for x
    x = 54,238.26/214.60
  6. Step 6: Final answer
    x = 252.74

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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.