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Finding the Fourth Proportional to 445.65, 668.45 and 213.83

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Solution

The fourth proportional to 445.65, 668.45 and 213.83 is: 320.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.65 : 668.45 = 213.83 : x
  2. Step 2: Convert to fraction form
    445.65/668.45 = 213.83/x
  3. Step 3: Cross multiply
    445.65x = 668.45 × 213.83
  4. Step 4: Simplify right side
    445.65x = 142,933.16
  5. Step 5: Solve for x
    x = 142,933.16/445.65
  6. Step 6: Final answer
    x = 320.73

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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.