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Finding the Fourth Proportional to 212.83, 321.16 and 205.20

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Solution

The fourth proportional to 212.83, 321.16 and 205.20 is: 309.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.83 : 321.16 = 205.20 : x
  2. Step 2: Convert to fraction form
    212.83/321.16 = 205.20/x
  3. Step 3: Cross multiply
    212.83x = 321.16 × 205.20
  4. Step 4: Simplify right side
    212.83x = 65,902.03
  5. Step 5: Solve for x
    x = 65,902.03/212.83
  6. Step 6: Final answer
    x = 309.65

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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.