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Finding the Fourth Proportional to 300.55, 415.46 and 254.18

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Solution

The fourth proportional to 300.55, 415.46 and 254.18 is: 351.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.55 : 415.46 = 254.18 : x
  2. Step 2: Convert to fraction form
    300.55/415.46 = 254.18/x
  3. Step 3: Cross multiply
    300.55x = 415.46 × 254.18
  4. Step 4: Simplify right side
    300.55x = 105,601.62
  5. Step 5: Solve for x
    x = 105,601.62/300.55
  6. Step 6: Final answer
    x = 351.36

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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.