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Finding the Fourth Proportional to 450.22, 674.68 and 352.27

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Solution

The fourth proportional to 450.22, 674.68 and 352.27 is: 527.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.22 : 674.68 = 352.27 : x
  2. Step 2: Convert to fraction form
    450.22/674.68 = 352.27/x
  3. Step 3: Cross multiply
    450.22x = 674.68 × 352.27
  4. Step 4: Simplify right side
    450.22x = 237,669.52
  5. Step 5: Solve for x
    x = 237,669.52/450.22
  6. Step 6: Final answer
    x = 527.90

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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.