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Finding the Fourth Proportional to 274.41, 379.16 and 203.41

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Solution

The fourth proportional to 274.41, 379.16 and 203.41 is: 281.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.41 : 379.16 = 203.41 : x
  2. Step 2: Convert to fraction form
    274.41/379.16 = 203.41/x
  3. Step 3: Cross multiply
    274.41x = 379.16 × 203.41
  4. Step 4: Simplify right side
    274.41x = 77,124.50
  5. Step 5: Solve for x
    x = 77,124.50/274.41
  6. Step 6: Final answer
    x = 281.06

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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.