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Finding the Fourth Proportional to 280.32, 388.46 and 276.84

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Solution

The fourth proportional to 280.32, 388.46 and 276.84 is: 383.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.32 : 388.46 = 276.84 : x
  2. Step 2: Convert to fraction form
    280.32/388.46 = 276.84/x
  3. Step 3: Cross multiply
    280.32x = 388.46 × 276.84
  4. Step 4: Simplify right side
    280.32x = 107,539.88
  5. Step 5: Solve for x
    x = 107,539.88/280.32
  6. Step 6: Final answer
    x = 383.63

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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.