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Finding the Fourth Proportional to 274.56, 380.40 and 255.84

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Solution

The fourth proportional to 274.56, 380.40 and 255.84 is: 354.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.56 : 380.40 = 255.84 : x
  2. Step 2: Convert to fraction form
    274.56/380.40 = 255.84/x
  3. Step 3: Cross multiply
    274.56x = 380.40 × 255.84
  4. Step 4: Simplify right side
    274.56x = 97,321.54
  5. Step 5: Solve for x
    x = 97,321.54/274.56
  6. Step 6: Final answer
    x = 354.46

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.