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Finding the Fourth Proportional to 277.96, 385.23 and 273.80

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Solution

The fourth proportional to 277.96, 385.23 and 273.80 is: 379.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.96 : 385.23 = 273.80 : x
  2. Step 2: Convert to fraction form
    277.96/385.23 = 273.80/x
  3. Step 3: Cross multiply
    277.96x = 385.23 × 273.80
  4. Step 4: Simplify right side
    277.96x = 105,475.97
  5. Step 5: Solve for x
    x = 105,475.97/277.96
  6. Step 6: Final answer
    x = 379.46

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.