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Finding the Fourth Proportional to 447.12, 670.82 and 216.14

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Solution

The fourth proportional to 447.12, 670.82 and 216.14 is: 324.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.12 : 670.82 = 216.14 : x
  2. Step 2: Convert to fraction form
    447.12/670.82 = 216.14/x
  3. Step 3: Cross multiply
    447.12x = 670.82 × 216.14
  4. Step 4: Simplify right side
    447.12x = 144,986.60
  5. Step 5: Solve for x
    x = 144,986.60/447.12
  6. Step 6: Final answer
    x = 324.27

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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.