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Finding the Fourth Proportional to 277.26, 385.19 and 274.73

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Solution

The fourth proportional to 277.26, 385.19 and 274.73 is: 381.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.26 : 385.19 = 274.73 : x
  2. Step 2: Convert to fraction form
    277.26/385.19 = 274.73/x
  3. Step 3: Cross multiply
    277.26x = 385.19 × 274.73
  4. Step 4: Simplify right side
    277.26x = 105,819.95
  5. Step 5: Solve for x
    x = 105,819.95/277.26
  6. Step 6: Final answer
    x = 381.66

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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.