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Finding the Fourth Proportional to 277.98, 381.14 and 268.62

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Solution

The fourth proportional to 277.98, 381.14 and 268.62 is: 368.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.98 : 381.14 = 268.62 : x
  2. Step 2: Convert to fraction form
    277.98/381.14 = 268.62/x
  3. Step 3: Cross multiply
    277.98x = 381.14 × 268.62
  4. Step 4: Simplify right side
    277.98x = 102,380.48
  5. Step 5: Solve for x
    x = 102,380.48/277.98
  6. Step 6: Final answer
    x = 368.30

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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.