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Finding the Fourth Proportional to 212.28, 319.48 and 166.92

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Solution

The fourth proportional to 212.28, 319.48 and 166.92 is: 251.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.28 : 319.48 = 166.92 : x
  2. Step 2: Convert to fraction form
    212.28/319.48 = 166.92/x
  3. Step 3: Cross multiply
    212.28x = 319.48 × 166.92
  4. Step 4: Simplify right side
    212.28x = 53,327.60
  5. Step 5: Solve for x
    x = 53,327.60/212.28
  6. Step 6: Final answer
    x = 251.21

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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.