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Finding the Fourth Proportional to 300.92, 415.73 and 298.49

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Solution

The fourth proportional to 300.92, 415.73 and 298.49 is: 412.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.92 : 415.73 = 298.49 : x
  2. Step 2: Convert to fraction form
    300.92/415.73 = 298.49/x
  3. Step 3: Cross multiply
    300.92x = 415.73 × 298.49
  4. Step 4: Simplify right side
    300.92x = 124,089.92
  5. Step 5: Solve for x
    x = 124,089.92/300.92
  6. Step 6: Final answer
    x = 412.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.