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Finding the Fourth Proportional to 213.76, 318.38 and 212.73

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Solution

The fourth proportional to 213.76, 318.38 and 212.73 is: 316.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.76 : 318.38 = 212.73 : x
  2. Step 2: Convert to fraction form
    213.76/318.38 = 212.73/x
  3. Step 3: Cross multiply
    213.76x = 318.38 × 212.73
  4. Step 4: Simplify right side
    213.76x = 67,728.98
  5. Step 5: Solve for x
    x = 67,728.98/213.76
  6. Step 6: Final answer
    x = 316.85

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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.