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Finding the Fourth Proportional to 277.69, 383.09 and 194.85

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Solution

The fourth proportional to 277.69, 383.09 and 194.85 is: 268.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.69 : 383.09 = 194.85 : x
  2. Step 2: Convert to fraction form
    277.69/383.09 = 194.85/x
  3. Step 3: Cross multiply
    277.69x = 383.09 × 194.85
  4. Step 4: Simplify right side
    277.69x = 74,646.43
  5. Step 5: Solve for x
    x = 74,646.43/277.69
  6. Step 6: Final answer
    x = 268.81

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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.