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Finding the Fourth Proportional to 276.56, 414.31 and 139.27

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Solution

The fourth proportional to 276.56, 414.31 and 139.27 is: 208.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.56 : 414.31 = 139.27 : x
  2. Step 2: Convert to fraction form
    276.56/414.31 = 139.27/x
  3. Step 3: Cross multiply
    276.56x = 414.31 × 139.27
  4. Step 4: Simplify right side
    276.56x = 57,700.95
  5. Step 5: Solve for x
    x = 57,700.95/276.56
  6. Step 6: Final answer
    x = 208.64

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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.