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Finding the Fourth Proportional to 212.92, 319.32 and 84.60

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Solution

The fourth proportional to 212.92, 319.32 and 84.60 is: 126.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.92 : 319.32 = 84.60 : x
  2. Step 2: Convert to fraction form
    212.92/319.32 = 84.60/x
  3. Step 3: Cross multiply
    212.92x = 319.32 × 84.60
  4. Step 4: Simplify right side
    212.92x = 27,014.47
  5. Step 5: Solve for x
    x = 27,014.47/212.92
  6. Step 6: Final answer
    x = 126.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.