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Finding the Fourth Proportional to 312.09, 429.60 and 300.75

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Solution

The fourth proportional to 312.09, 429.60 and 300.75 is: 413.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.09 : 429.60 = 300.75 : x
  2. Step 2: Convert to fraction form
    312.09/429.60 = 300.75/x
  3. Step 3: Cross multiply
    312.09x = 429.60 × 300.75
  4. Step 4: Simplify right side
    312.09x = 129,202.20
  5. Step 5: Solve for x
    x = 129,202.20/312.09
  6. Step 6: Final answer
    x = 413.99

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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.