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Finding the Fourth Proportional to 276.29, 412.58 and 273.26

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Solution

The fourth proportional to 276.29, 412.58 and 273.26 is: 408.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.29 : 412.58 = 273.26 : x
  2. Step 2: Convert to fraction form
    276.29/412.58 = 273.26/x
  3. Step 3: Cross multiply
    276.29x = 412.58 × 273.26
  4. Step 4: Simplify right side
    276.29x = 112,738.18
  5. Step 5: Solve for x
    x = 112,738.18/276.29
  6. Step 6: Final answer
    x = 408.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.