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Finding the Fourth Proportional to 286.44, 427.59 and 267

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Solution

The fourth proportional to 286.44, 427.59 and 267 is: 398.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.44 : 427.59 = 267 : x
  2. Step 2: Convert to fraction form
    286.44/427.59 = 267/x
  3. Step 3: Cross multiply
    286.44x = 427.59 × 267
  4. Step 4: Simplify right side
    286.44x = 114,166.53
  5. Step 5: Solve for x
    x = 114,166.53/286.44
  6. Step 6: Final answer
    x = 398.57

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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.