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Finding the Fourth Proportional to 450, 620.16 and 300.35

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Solution

The fourth proportional to 450, 620.16 and 300.35 is: 413.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    450 : 620.16 = 300.35 : x
  2. Step 2: Convert to fraction form
    450/620.16 = 300.35/x
  3. Step 3: Cross multiply
    450x = 620.16 × 300.35
  4. Step 4: Simplify right side
    450x = 186,265.06
  5. Step 5: Solve for x
    x = 186,265.06/450
  6. Step 6: Final answer
    x = 413.92

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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.