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Finding the Fourth Proportional to 449.75, 674.64 and 193.43

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Solution

The fourth proportional to 449.75, 674.64 and 193.43 is: 290.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.75 : 674.64 = 193.43 : x
  2. Step 2: Convert to fraction form
    449.75/674.64 = 193.43/x
  3. Step 3: Cross multiply
    449.75x = 674.64 × 193.43
  4. Step 4: Simplify right side
    449.75x = 130,495.62
  5. Step 5: Solve for x
    x = 130,495.62/449.75
  6. Step 6: Final answer
    x = 290.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.