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Finding the Fourth Proportional to 212.06, 293.88 and 209.12

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Solution

The fourth proportional to 212.06, 293.88 and 209.12 is: 289.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.06 : 293.88 = 209.12 : x
  2. Step 2: Convert to fraction form
    212.06/293.88 = 209.12/x
  3. Step 3: Cross multiply
    212.06x = 293.88 × 209.12
  4. Step 4: Simplify right side
    212.06x = 61,456.19
  5. Step 5: Solve for x
    x = 61,456.19/212.06
  6. Step 6: Final answer
    x = 289.81

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.