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Finding the Fourth Proportional to 283.44, 427.71 and 273.27

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Solution

The fourth proportional to 283.44, 427.71 and 273.27 is: 412.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.44 : 427.71 = 273.27 : x
  2. Step 2: Convert to fraction form
    283.44/427.71 = 273.27/x
  3. Step 3: Cross multiply
    283.44x = 427.71 × 273.27
  4. Step 4: Simplify right side
    283.44x = 116,876.81
  5. Step 5: Solve for x
    x = 116,876.81/283.44
  6. Step 6: Final answer
    x = 412.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.