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Finding the Fourth Proportional to 212.09, 319.41 and 190.62

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Solution

The fourth proportional to 212.09, 319.41 and 190.62 is: 287.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.09 : 319.41 = 190.62 : x
  2. Step 2: Convert to fraction form
    212.09/319.41 = 190.62/x
  3. Step 3: Cross multiply
    212.09x = 319.41 × 190.62
  4. Step 4: Simplify right side
    212.09x = 60,885.93
  5. Step 5: Solve for x
    x = 60,885.93/212.09
  6. Step 6: Final answer
    x = 287.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.