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Finding the Fourth Proportional to 286.25, 427.33 and 276.12

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Solution

The fourth proportional to 286.25, 427.33 and 276.12 is: 412.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.25 : 427.33 = 276.12 : x
  2. Step 2: Convert to fraction form
    286.25/427.33 = 276.12/x
  3. Step 3: Cross multiply
    286.25x = 427.33 × 276.12
  4. Step 4: Simplify right side
    286.25x = 117,994.70
  5. Step 5: Solve for x
    x = 117,994.70/286.25
  6. Step 6: Final answer
    x = 412.22

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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.