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Finding the Fourth Proportional to 446.00, 668.81 and 137.79

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Solution

The fourth proportional to 446.00, 668.81 and 137.79 is: 206.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.00 : 668.81 = 137.79 : x
  2. Step 2: Convert to fraction form
    446.00/668.81 = 137.79/x
  3. Step 3: Cross multiply
    446.00x = 668.81 × 137.79
  4. Step 4: Simplify right side
    446.00x = 92,154.64
  5. Step 5: Solve for x
    x = 92,154.64/446.00
  6. Step 6: Final answer
    x = 206.63

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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.