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Finding the Fourth Proportional to 212, 315.92 and 205.44

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Solution

The fourth proportional to 212, 315.92 and 205.44 is: 306.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    212 : 315.92 = 205.44 : x
  2. Step 2: Convert to fraction form
    212/315.92 = 205.44/x
  3. Step 3: Cross multiply
    212x = 315.92 × 205.44
  4. Step 4: Simplify right side
    212x = 64,902.60
  5. Step 5: Solve for x
    x = 64,902.60/212
  6. Step 6: Final answer
    x = 306.14

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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.