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Finding the Fourth Proportional to 449.46, 620.33 and 300.08

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Solution

The fourth proportional to 449.46, 620.33 and 300.08 is: 414.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.46 : 620.33 = 300.08 : x
  2. Step 2: Convert to fraction form
    449.46/620.33 = 300.08/x
  3. Step 3: Cross multiply
    449.46x = 620.33 × 300.08
  4. Step 4: Simplify right side
    449.46x = 186,148.68
  5. Step 5: Solve for x
    x = 186,148.68/449.46
  6. Step 6: Final answer
    x = 414.16

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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.