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Finding the Fourth Proportional to 214.18, 319.22 and 212.56

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Solution

The fourth proportional to 214.18, 319.22 and 212.56 is: 316.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.18 : 319.22 = 212.56 : x
  2. Step 2: Convert to fraction form
    214.18/319.22 = 212.56/x
  3. Step 3: Cross multiply
    214.18x = 319.22 × 212.56
  4. Step 4: Simplify right side
    214.18x = 67,853.40
  5. Step 5: Solve for x
    x = 67,853.40/214.18
  6. Step 6: Final answer
    x = 316.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.