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Finding the Fourth Proportional to 287.62, 429.11 and 273.88

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Solution

The fourth proportional to 287.62, 429.11 and 273.88 is: 408.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.62 : 429.11 = 273.88 : x
  2. Step 2: Convert to fraction form
    287.62/429.11 = 273.88/x
  3. Step 3: Cross multiply
    287.62x = 429.11 × 273.88
  4. Step 4: Simplify right side
    287.62x = 117,524.65
  5. Step 5: Solve for x
    x = 117,524.65/287.62
  6. Step 6: Final answer
    x = 408.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.