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Finding the Fourth Proportional to 446.55, 668.97 and 343.68

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Solution

The fourth proportional to 446.55, 668.97 and 343.68 is: 514.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.55 : 668.97 = 343.68 : x
  2. Step 2: Convert to fraction form
    446.55/668.97 = 343.68/x
  3. Step 3: Cross multiply
    446.55x = 668.97 × 343.68
  4. Step 4: Simplify right side
    446.55x = 229,911.61
  5. Step 5: Solve for x
    x = 229,911.61/446.55
  6. Step 6: Final answer
    x = 514.86

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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.