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Finding the Fourth Proportional to 445.65, 665.90 and 321.66

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Solution

The fourth proportional to 445.65, 665.90 and 321.66 is: 480.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.65 : 665.90 = 321.66 : x
  2. Step 2: Convert to fraction form
    445.65/665.90 = 321.66/x
  3. Step 3: Cross multiply
    445.65x = 665.90 × 321.66
  4. Step 4: Simplify right side
    445.65x = 214,193.96
  5. Step 5: Solve for x
    x = 214,193.96/445.65
  6. Step 6: Final answer
    x = 480.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.