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Finding the Fourth Proportional to 280.56, 384.88 and 274.44

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Solution

The fourth proportional to 280.56, 384.88 and 274.44 is: 376.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.56 : 384.88 = 274.44 : x
  2. Step 2: Convert to fraction form
    280.56/384.88 = 274.44/x
  3. Step 3: Cross multiply
    280.56x = 384.88 × 274.44
  4. Step 4: Simplify right side
    280.56x = 105,626.47
  5. Step 5: Solve for x
    x = 105,626.47/280.56
  6. Step 6: Final answer
    x = 376.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.