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Finding the Fourth Proportional to 276.33, 381.30 and 165.83

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Solution

The fourth proportional to 276.33, 381.30 and 165.83 is: 228.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.33 : 381.30 = 165.83 : x
  2. Step 2: Convert to fraction form
    276.33/381.30 = 165.83/x
  3. Step 3: Cross multiply
    276.33x = 381.30 × 165.83
  4. Step 4: Simplify right side
    276.33x = 63,229.07
  5. Step 5: Solve for x
    x = 63,229.07/276.33
  6. Step 6: Final answer
    x = 228.82

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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.