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Finding the Fourth Proportional to 277.67, 380.40 and 267.28

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Solution

The fourth proportional to 277.67, 380.40 and 267.28 is: 366.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.67 : 380.40 = 267.28 : x
  2. Step 2: Convert to fraction form
    277.67/380.40 = 267.28/x
  3. Step 3: Cross multiply
    277.67x = 380.40 × 267.28
  4. Step 4: Simplify right side
    277.67x = 101,675.00
  5. Step 5: Solve for x
    x = 101,675.00/277.67
  6. Step 6: Final answer
    x = 366.18

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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.