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Finding the Fourth Proportional to 286.49, 427.99 and 182.95

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Solution

The fourth proportional to 286.49, 427.99 and 182.95 is: 273.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.49 : 427.99 = 182.95 : x
  2. Step 2: Convert to fraction form
    286.49/427.99 = 182.95/x
  3. Step 3: Cross multiply
    286.49x = 427.99 × 182.95
  4. Step 4: Simplify right side
    286.49x = 78,300.77
  5. Step 5: Solve for x
    x = 78,300.77/286.49
  6. Step 6: Final answer
    x = 273.31

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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.