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Finding the Fourth Proportional to 447.23, 670.87 and 139.09

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Solution

The fourth proportional to 447.23, 670.87 and 139.09 is: 208.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.23 : 670.87 = 139.09 : x
  2. Step 2: Convert to fraction form
    447.23/670.87 = 139.09/x
  3. Step 3: Cross multiply
    447.23x = 670.87 × 139.09
  4. Step 4: Simplify right side
    447.23x = 93,311.06
  5. Step 5: Solve for x
    x = 93,311.06/447.23
  6. Step 6: Final answer
    x = 208.64

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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.