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Finding the Fourth Proportional to 277.41, 381.67 and 240.36

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Solution

The fourth proportional to 277.41, 381.67 and 240.36 is: 330.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.41 : 381.67 = 240.36 : x
  2. Step 2: Convert to fraction form
    277.41/381.67 = 240.36/x
  3. Step 3: Cross multiply
    277.41x = 381.67 × 240.36
  4. Step 4: Simplify right side
    277.41x = 91,738.20
  5. Step 5: Solve for x
    x = 91,738.20/277.41
  6. Step 6: Final answer
    x = 330.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.