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Finding the Fourth Proportional to 300.89, 415.04 and 280.05

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Solution

The fourth proportional to 300.89, 415.04 and 280.05 is: 386.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.89 : 415.04 = 280.05 : x
  2. Step 2: Convert to fraction form
    300.89/415.04 = 280.05/x
  3. Step 3: Cross multiply
    300.89x = 415.04 × 280.05
  4. Step 4: Simplify right side
    300.89x = 116,230.55
  5. Step 5: Solve for x
    x = 116,230.55/300.89
  6. Step 6: Final answer
    x = 386.30

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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.