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Finding the Fourth Proportional to 277.26, 380.84 and 269.06

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Solution

The fourth proportional to 277.26, 380.84 and 269.06 is: 369.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.26 : 380.84 = 269.06 : x
  2. Step 2: Convert to fraction form
    277.26/380.84 = 269.06/x
  3. Step 3: Cross multiply
    277.26x = 380.84 × 269.06
  4. Step 4: Simplify right side
    277.26x = 102,467.83
  5. Step 5: Solve for x
    x = 102,467.83/277.26
  6. Step 6: Final answer
    x = 369.58

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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.