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Finding the Fourth Proportional to 274.15, 377.90 and 204.09

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Solution

The fourth proportional to 274.15, 377.90 and 204.09 is: 281.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.15 : 377.90 = 204.09 : x
  2. Step 2: Convert to fraction form
    274.15/377.90 = 204.09/x
  3. Step 3: Cross multiply
    274.15x = 377.90 × 204.09
  4. Step 4: Simplify right side
    274.15x = 77,125.61
  5. Step 5: Solve for x
    x = 77,125.61/274.15
  6. Step 6: Final answer
    x = 281.33

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