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Finding the Fourth Proportional to 405.82, 559.65 and 273.34

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Solution

The fourth proportional to 405.82, 559.65 and 273.34 is: 376.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.82 : 559.65 = 273.34 : x
  2. Step 2: Convert to fraction form
    405.82/559.65 = 273.34/x
  3. Step 3: Cross multiply
    405.82x = 559.65 × 273.34
  4. Step 4: Simplify right side
    405.82x = 152,974.73
  5. Step 5: Solve for x
    x = 152,974.73/405.82
  6. Step 6: Final answer
    x = 376.95

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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.