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Finding the Fourth Proportional to 450.90, 676.34 and 126.25

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Solution

The fourth proportional to 450.90, 676.34 and 126.25 is: 189.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.90 : 676.34 = 126.25 : x
  2. Step 2: Convert to fraction form
    450.90/676.34 = 126.25/x
  3. Step 3: Cross multiply
    450.90x = 676.34 × 126.25
  4. Step 4: Simplify right side
    450.90x = 85,387.93
  5. Step 5: Solve for x
    x = 85,387.93/450.90
  6. Step 6: Final answer
    x = 189.37

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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.