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Finding the Fourth Proportional to 449.65, 620.26 and 338.78

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Solution

The fourth proportional to 449.65, 620.26 and 338.78 is: 467.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.65 : 620.26 = 338.78 : x
  2. Step 2: Convert to fraction form
    449.65/620.26 = 338.78/x
  3. Step 3: Cross multiply
    449.65x = 620.26 × 338.78
  4. Step 4: Simplify right side
    449.65x = 210,132.39
  5. Step 5: Solve for x
    x = 210,132.39/449.65
  6. Step 6: Final answer
    x = 467.32

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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.