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Finding the Fourth Proportional to 276.79, 415.11 and 112.21

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Solution

The fourth proportional to 276.79, 415.11 and 112.21 is: 168.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.79 : 415.11 = 112.21 : x
  2. Step 2: Convert to fraction form
    276.79/415.11 = 112.21/x
  3. Step 3: Cross multiply
    276.79x = 415.11 × 112.21
  4. Step 4: Simplify right side
    276.79x = 46,579.49
  5. Step 5: Solve for x
    x = 46,579.49/276.79
  6. Step 6: Final answer
    x = 168.28

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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.