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Finding the Fourth Proportional to 214.52, 321.90 and 106.31

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Solution

The fourth proportional to 214.52, 321.90 and 106.31 is: 159.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.52 : 321.90 = 106.31 : x
  2. Step 2: Convert to fraction form
    214.52/321.90 = 106.31/x
  3. Step 3: Cross multiply
    214.52x = 321.90 × 106.31
  4. Step 4: Simplify right side
    214.52x = 34,221.89
  5. Step 5: Solve for x
    x = 34,221.89/214.52
  6. Step 6: Final answer
    x = 159.53

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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.