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Finding the Fourth Proportional to 274.15, 378.15 and 208.54

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Solution

The fourth proportional to 274.15, 378.15 and 208.54 is: 287.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.15 : 378.15 = 208.54 : x
  2. Step 2: Convert to fraction form
    274.15/378.15 = 208.54/x
  3. Step 3: Cross multiply
    274.15x = 378.15 × 208.54
  4. Step 4: Simplify right side
    274.15x = 78,857.51
  5. Step 5: Solve for x
    x = 78,857.51/274.15
  6. Step 6: Final answer
    x = 287.65

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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.