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Finding the Fourth Proportional to 276.58, 379.20 and 271.64

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Solution

The fourth proportional to 276.58, 379.20 and 271.64 is: 372.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.58 : 379.20 = 271.64 : x
  2. Step 2: Convert to fraction form
    276.58/379.20 = 271.64/x
  3. Step 3: Cross multiply
    276.58x = 379.20 × 271.64
  4. Step 4: Simplify right side
    276.58x = 103,004.53
  5. Step 5: Solve for x
    x = 103,004.53/276.58
  6. Step 6: Final answer
    x = 372.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.