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Finding the Fourth Proportional to 281.73, 420.47 and 274.44

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Solution

The fourth proportional to 281.73, 420.47 and 274.44 is: 409.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.73 : 420.47 = 274.44 : x
  2. Step 2: Convert to fraction form
    281.73/420.47 = 274.44/x
  3. Step 3: Cross multiply
    281.73x = 420.47 × 274.44
  4. Step 4: Simplify right side
    281.73x = 115,392.41
  5. Step 5: Solve for x
    x = 115,392.41/281.73
  6. Step 6: Final answer
    x = 409.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.