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Finding the Fourth Proportional to 286.98, 427.61 and 273.03

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Solution

The fourth proportional to 286.98, 427.61 and 273.03 is: 406.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.98 : 427.61 = 273.03 : x
  2. Step 2: Convert to fraction form
    286.98/427.61 = 273.03/x
  3. Step 3: Cross multiply
    286.98x = 427.61 × 273.03
  4. Step 4: Simplify right side
    286.98x = 116,751.55
  5. Step 5: Solve for x
    x = 116,751.55/286.98
  6. Step 6: Final answer
    x = 406.83

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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.