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Finding the Fourth Proportional to 297.92, 443.37 and 286.99

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Solution

The fourth proportional to 297.92, 443.37 and 286.99 is: 427.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.92 : 443.37 = 286.99 : x
  2. Step 2: Convert to fraction form
    297.92/443.37 = 286.99/x
  3. Step 3: Cross multiply
    297.92x = 443.37 × 286.99
  4. Step 4: Simplify right side
    297.92x = 127,241.65
  5. Step 5: Solve for x
    x = 127,241.65/297.92
  6. Step 6: Final answer
    x = 427.10

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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.