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Finding the Fourth Proportional to 286.15, 427.09 and 283.07

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Solution

The fourth proportional to 286.15, 427.09 and 283.07 is: 422.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.15 : 427.09 = 283.07 : x
  2. Step 2: Convert to fraction form
    286.15/427.09 = 283.07/x
  3. Step 3: Cross multiply
    286.15x = 427.09 × 283.07
  4. Step 4: Simplify right side
    286.15x = 120,896.37
  5. Step 5: Solve for x
    x = 120,896.37/286.15
  6. Step 6: Final answer
    x = 422.49

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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.