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Finding the Fourth Proportional to 276.28, 381.14 and 172.76

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Solution

The fourth proportional to 276.28, 381.14 and 172.76 is: 238.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.28 : 381.14 = 172.76 : x
  2. Step 2: Convert to fraction form
    276.28/381.14 = 172.76/x
  3. Step 3: Cross multiply
    276.28x = 381.14 × 172.76
  4. Step 4: Simplify right side
    276.28x = 65,845.75
  5. Step 5: Solve for x
    x = 65,845.75/276.28
  6. Step 6: Final answer
    x = 238.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.