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Finding the Fourth Proportional to 274.54, 377.94 and 208.84

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Solution

The fourth proportional to 274.54, 377.94 and 208.84 is: 287.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.54 : 377.94 = 208.84 : x
  2. Step 2: Convert to fraction form
    274.54/377.94 = 208.84/x
  3. Step 3: Cross multiply
    274.54x = 377.94 × 208.84
  4. Step 4: Simplify right side
    274.54x = 78,928.99
  5. Step 5: Solve for x
    x = 78,928.99/274.54
  6. Step 6: Final answer
    x = 287.50

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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.