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Finding the Fourth Proportional to 277.39, 383.07 and 273.73

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Solution

The fourth proportional to 277.39, 383.07 and 273.73 is: 378.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.39 : 383.07 = 273.73 : x
  2. Step 2: Convert to fraction form
    277.39/383.07 = 273.73/x
  3. Step 3: Cross multiply
    277.39x = 383.07 × 273.73
  4. Step 4: Simplify right side
    277.39x = 104,857.75
  5. Step 5: Solve for x
    x = 104,857.75/277.39
  6. Step 6: Final answer
    x = 378.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.