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Finding the Fourth Proportional to 447.69, 671.64 and 216.69

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Solution

The fourth proportional to 447.69, 671.64 and 216.69 is: 325.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.69 : 671.64 = 216.69 : x
  2. Step 2: Convert to fraction form
    447.69/671.64 = 216.69/x
  3. Step 3: Cross multiply
    447.69x = 671.64 × 216.69
  4. Step 4: Simplify right side
    447.69x = 145,539.34
  5. Step 5: Solve for x
    x = 145,539.34/447.69
  6. Step 6: Final answer
    x = 325.09

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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.