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Finding the Fourth Proportional to 300.92, 415.18 and 184.36

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Solution

The fourth proportional to 300.92, 415.18 and 184.36 is: 254.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.92 : 415.18 = 184.36 : x
  2. Step 2: Convert to fraction form
    300.92/415.18 = 184.36/x
  3. Step 3: Cross multiply
    300.92x = 415.18 × 184.36
  4. Step 4: Simplify right side
    300.92x = 76,542.58
  5. Step 5: Solve for x
    x = 76,542.58/300.92
  6. Step 6: Final answer
    x = 254.36

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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.