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Finding the Fourth Proportional to 212.73, 321.02 and 205.49

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Solution

The fourth proportional to 212.73, 321.02 and 205.49 is: 310.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.73 : 321.02 = 205.49 : x
  2. Step 2: Convert to fraction form
    212.73/321.02 = 205.49/x
  3. Step 3: Cross multiply
    212.73x = 321.02 × 205.49
  4. Step 4: Simplify right side
    212.73x = 65,963.77
  5. Step 5: Solve for x
    x = 65,963.77/212.73
  6. Step 6: Final answer
    x = 310.08

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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.