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Finding the Fourth Proportional to 446.97, 670.41 and 138.83

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Solution

The fourth proportional to 446.97, 670.41 and 138.83 is: 208.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.97 : 670.41 = 138.83 : x
  2. Step 2: Convert to fraction form
    446.97/670.41 = 138.83/x
  3. Step 3: Cross multiply
    446.97x = 670.41 × 138.83
  4. Step 4: Simplify right side
    446.97x = 93,074.70
  5. Step 5: Solve for x
    x = 93,074.70/446.97
  6. Step 6: Final answer
    x = 208.23

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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.