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Finding the Fourth Proportional to 212.11, 316.63 and 181.12

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Solution

The fourth proportional to 212.11, 316.63 and 181.12 is: 270.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.11 : 316.63 = 181.12 : x
  2. Step 2: Convert to fraction form
    212.11/316.63 = 181.12/x
  3. Step 3: Cross multiply
    212.11x = 316.63 × 181.12
  4. Step 4: Simplify right side
    212.11x = 57,348.03
  5. Step 5: Solve for x
    x = 57,348.03/212.11
  6. Step 6: Final answer
    x = 270.37

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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.