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Finding the Fourth Proportional to 212.34, 291.19 and 201.81

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Solution

The fourth proportional to 212.34, 291.19 and 201.81 is: 276.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.34 : 291.19 = 201.81 : x
  2. Step 2: Convert to fraction form
    212.34/291.19 = 201.81/x
  3. Step 3: Cross multiply
    212.34x = 291.19 × 201.81
  4. Step 4: Simplify right side
    212.34x = 58,765.05
  5. Step 5: Solve for x
    x = 58,765.05/212.34
  6. Step 6: Final answer
    x = 276.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.