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Finding the Fourth Proportional to 280.33, 388.49 and 276.41

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Solution

The fourth proportional to 280.33, 388.49 and 276.41 is: 383.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.33 : 388.49 = 276.41 : x
  2. Step 2: Convert to fraction form
    280.33/388.49 = 276.41/x
  3. Step 3: Cross multiply
    280.33x = 388.49 × 276.41
  4. Step 4: Simplify right side
    280.33x = 107,382.52
  5. Step 5: Solve for x
    x = 107,382.52/280.33
  6. Step 6: Final answer
    x = 383.06

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.