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Finding the Fourth Proportional to 446.51, 669.77 and 199.62

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Solution

The fourth proportional to 446.51, 669.77 and 199.62 is: 299.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.51 : 669.77 = 199.62 : x
  2. Step 2: Convert to fraction form
    446.51/669.77 = 199.62/x
  3. Step 3: Cross multiply
    446.51x = 669.77 × 199.62
  4. Step 4: Simplify right side
    446.51x = 133,698.49
  5. Step 5: Solve for x
    x = 133,698.49/446.51
  6. Step 6: Final answer
    x = 299.43

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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.