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Finding the Fourth Proportional to 280.26, 388.62 and 271.04

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Solution

The fourth proportional to 280.26, 388.62 and 271.04 is: 375.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.26 : 388.62 = 271.04 : x
  2. Step 2: Convert to fraction form
    280.26/388.62 = 271.04/x
  3. Step 3: Cross multiply
    280.26x = 388.62 × 271.04
  4. Step 4: Simplify right side
    280.26x = 105,329.62
  5. Step 5: Solve for x
    x = 105,329.62/280.26
  6. Step 6: Final answer
    x = 375.83

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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.