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Finding the Fourth Proportional to 212.10, 316.22 and 206.68

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Solution

The fourth proportional to 212.10, 316.22 and 206.68 is: 308.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.10 : 316.22 = 206.68 : x
  2. Step 2: Convert to fraction form
    212.10/316.22 = 206.68/x
  3. Step 3: Cross multiply
    212.10x = 316.22 × 206.68
  4. Step 4: Simplify right side
    212.10x = 65,356.35
  5. Step 5: Solve for x
    x = 65,356.35/212.10
  6. Step 6: Final answer
    x = 308.14

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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.