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Finding the Fourth Proportional to 214.44, 321.82 and 160.20

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Solution

The fourth proportional to 214.44, 321.82 and 160.20 is: 240.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.44 : 321.82 = 160.20 : x
  2. Step 2: Convert to fraction form
    214.44/321.82 = 160.20/x
  3. Step 3: Cross multiply
    214.44x = 321.82 × 160.20
  4. Step 4: Simplify right side
    214.44x = 51,555.56
  5. Step 5: Solve for x
    x = 51,555.56/214.44
  6. Step 6: Final answer
    x = 240.42

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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.