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Finding the Fourth Proportional to 274.76, 378.60 and 204.68

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Solution

The fourth proportional to 274.76, 378.60 and 204.68 is: 282.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.76 : 378.60 = 204.68 : x
  2. Step 2: Convert to fraction form
    274.76/378.60 = 204.68/x
  3. Step 3: Cross multiply
    274.76x = 378.60 × 204.68
  4. Step 4: Simplify right side
    274.76x = 77,491.85
  5. Step 5: Solve for x
    x = 77,491.85/274.76
  6. Step 6: Final answer
    x = 282.03

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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.