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Finding the Fourth Proportional to 212.96, 321.28 and 206.24

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Solution

The fourth proportional to 212.96, 321.28 and 206.24 is: 311.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.96 : 321.28 = 206.24 : x
  2. Step 2: Convert to fraction form
    212.96/321.28 = 206.24/x
  3. Step 3: Cross multiply
    212.96x = 321.28 × 206.24
  4. Step 4: Simplify right side
    212.96x = 66,260.79
  5. Step 5: Solve for x
    x = 66,260.79/212.96
  6. Step 6: Final answer
    x = 311.14

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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.