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Finding the Fourth Proportional to 281.14, 418.85 and 273.77

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Solution

The fourth proportional to 281.14, 418.85 and 273.77 is: 407.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.14 : 418.85 = 273.77 : x
  2. Step 2: Convert to fraction form
    281.14/418.85 = 273.77/x
  3. Step 3: Cross multiply
    281.14x = 418.85 × 273.77
  4. Step 4: Simplify right side
    281.14x = 114,668.56
  5. Step 5: Solve for x
    x = 114,668.56/281.14
  6. Step 6: Final answer
    x = 407.87

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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.