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Finding the Fourth Proportional to 281.44, 385.57 and 280.63

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Solution

The fourth proportional to 281.44, 385.57 and 280.63 is: 384.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.44 : 385.57 = 280.63 : x
  2. Step 2: Convert to fraction form
    281.44/385.57 = 280.63/x
  3. Step 3: Cross multiply
    281.44x = 385.57 × 280.63
  4. Step 4: Simplify right side
    281.44x = 108,200.58
  5. Step 5: Solve for x
    x = 108,200.58/281.44
  6. Step 6: Final answer
    x = 384.46

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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.