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Finding the Fourth Proportional to 212.09, 292.11 and 201.11

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Solution

The fourth proportional to 212.09, 292.11 and 201.11 is: 276.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.09 : 292.11 = 201.11 : x
  2. Step 2: Convert to fraction form
    212.09/292.11 = 201.11/x
  3. Step 3: Cross multiply
    212.09x = 292.11 × 201.11
  4. Step 4: Simplify right side
    212.09x = 58,746.24
  5. Step 5: Solve for x
    x = 58,746.24/212.09
  6. Step 6: Final answer
    x = 276.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.