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Finding the Fourth Proportional to 276, 380.91 and 165.45

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Solution

The fourth proportional to 276, 380.91 and 165.45 is: 228.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    276 : 380.91 = 165.45 : x
  2. Step 2: Convert to fraction form
    276/380.91 = 165.45/x
  3. Step 3: Cross multiply
    276x = 380.91 × 165.45
  4. Step 4: Simplify right side
    276x = 63,021.56
  5. Step 5: Solve for x
    x = 63,021.56/276
  6. Step 6: Final answer
    x = 228.34

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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.