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Finding the Fourth Proportional to 446.97, 670.59 and 154.44

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Solution

The fourth proportional to 446.97, 670.59 and 154.44 is: 231.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.97 : 670.59 = 154.44 : x
  2. Step 2: Convert to fraction form
    446.97/670.59 = 154.44/x
  3. Step 3: Cross multiply
    446.97x = 670.59 × 154.44
  4. Step 4: Simplify right side
    446.97x = 103,565.92
  5. Step 5: Solve for x
    x = 103,565.92/446.97
  6. Step 6: Final answer
    x = 231.71

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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.