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Finding the Fourth Proportional to 277.44, 380.10 and 274.92

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Solution

The fourth proportional to 277.44, 380.10 and 274.92 is: 376.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.44 : 380.10 = 274.92 : x
  2. Step 2: Convert to fraction form
    277.44/380.10 = 274.92/x
  3. Step 3: Cross multiply
    277.44x = 380.10 × 274.92
  4. Step 4: Simplify right side
    277.44x = 104,497.09
  5. Step 5: Solve for x
    x = 104,497.09/277.44
  6. Step 6: Final answer
    x = 376.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.