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Finding the Fourth Proportional to 276.81, 415.11 and 122.80

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Solution

The fourth proportional to 276.81, 415.11 and 122.80 is: 184.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.81 : 415.11 = 122.80 : x
  2. Step 2: Convert to fraction form
    276.81/415.11 = 122.80/x
  3. Step 3: Cross multiply
    276.81x = 415.11 × 122.80
  4. Step 4: Simplify right side
    276.81x = 50,975.51
  5. Step 5: Solve for x
    x = 50,975.51/276.81
  6. Step 6: Final answer
    x = 184.15

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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.