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Finding the Fourth Proportional to 277.71, 380.46 and 267.33

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Solution

The fourth proportional to 277.71, 380.46 and 267.33 is: 366.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.71 : 380.46 = 267.33 : x
  2. Step 2: Convert to fraction form
    277.71/380.46 = 267.33/x
  3. Step 3: Cross multiply
    277.71x = 380.46 × 267.33
  4. Step 4: Simplify right side
    277.71x = 101,708.37
  5. Step 5: Solve for x
    x = 101,708.37/277.71
  6. Step 6: Final answer
    x = 366.24

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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.