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Finding the Fourth Proportional to 277.67, 380.70 and 272.73

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Solution

The fourth proportional to 277.67, 380.70 and 272.73 is: 373.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.67 : 380.70 = 272.73 : x
  2. Step 2: Convert to fraction form
    277.67/380.70 = 272.73/x
  3. Step 3: Cross multiply
    277.67x = 380.70 × 272.73
  4. Step 4: Simplify right side
    277.67x = 103,826.95
  5. Step 5: Solve for x
    x = 103,826.95/277.67
  6. Step 6: Final answer
    x = 373.92

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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.