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Finding the Fourth Proportional to 213.84, 318.30 and 212.83

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Solution

The fourth proportional to 213.84, 318.30 and 212.83 is: 316.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.84 : 318.30 = 212.83 : x
  2. Step 2: Convert to fraction form
    213.84/318.30 = 212.83/x
  3. Step 3: Cross multiply
    213.84x = 318.30 × 212.83
  4. Step 4: Simplify right side
    213.84x = 67,742.20
  5. Step 5: Solve for x
    x = 67,742.20/213.84
  6. Step 6: Final answer
    x = 316.79

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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.