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Finding the Fourth Proportional to 277.74, 418.68 and 273.54

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Solution

The fourth proportional to 277.74, 418.68 and 273.54 is: 412.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.74 : 418.68 = 273.54 : x
  2. Step 2: Convert to fraction form
    277.74/418.68 = 273.54/x
  3. Step 3: Cross multiply
    277.74x = 418.68 × 273.54
  4. Step 4: Simplify right side
    277.74x = 114,525.73
  5. Step 5: Solve for x
    x = 114,525.73/277.74
  6. Step 6: Final answer
    x = 412.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.