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Finding the Fourth Proportional to 280.08, 388.14 and 276.16

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Solution

The fourth proportional to 280.08, 388.14 and 276.16 is: 382.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.08 : 388.14 = 276.16 : x
  2. Step 2: Convert to fraction form
    280.08/388.14 = 276.16/x
  3. Step 3: Cross multiply
    280.08x = 388.14 × 276.16
  4. Step 4: Simplify right side
    280.08x = 107,188.74
  5. Step 5: Solve for x
    x = 107,188.74/280.08
  6. Step 6: Final answer
    x = 382.71

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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.