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Finding the Fourth Proportional to 276.06, 378.63 and 243.26

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Solution

The fourth proportional to 276.06, 378.63 and 243.26 is: 333.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.06 : 378.63 = 243.26 : x
  2. Step 2: Convert to fraction form
    276.06/378.63 = 243.26/x
  3. Step 3: Cross multiply
    276.06x = 378.63 × 243.26
  4. Step 4: Simplify right side
    276.06x = 92,105.53
  5. Step 5: Solve for x
    x = 92,105.53/276.06
  6. Step 6: Final answer
    x = 333.64

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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.