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Finding the Fourth Proportional to 214.20, 323.01 and 212.76

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Solution

The fourth proportional to 214.20, 323.01 and 212.76 is: 320.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.20 : 323.01 = 212.76 : x
  2. Step 2: Convert to fraction form
    214.20/323.01 = 212.76/x
  3. Step 3: Cross multiply
    214.20x = 323.01 × 212.76
  4. Step 4: Simplify right side
    214.20x = 68,723.61
  5. Step 5: Solve for x
    x = 68,723.61/214.20
  6. Step 6: Final answer
    x = 320.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.