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Finding the Fourth Proportional to 277.11, 382.77 and 194.49

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Solution

The fourth proportional to 277.11, 382.77 and 194.49 is: 268.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.11 : 382.77 = 194.49 : x
  2. Step 2: Convert to fraction form
    277.11/382.77 = 194.49/x
  3. Step 3: Cross multiply
    277.11x = 382.77 × 194.49
  4. Step 4: Simplify right side
    277.11x = 74,444.94
  5. Step 5: Solve for x
    x = 74,444.94/277.11
  6. Step 6: Final answer
    x = 268.65

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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.