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Finding the Fourth Proportional to 443.75, 665.66 and 323.47

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Solution

The fourth proportional to 443.75, 665.66 and 323.47 is: 485.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.75 : 665.66 = 323.47 : x
  2. Step 2: Convert to fraction form
    443.75/665.66 = 323.47/x
  3. Step 3: Cross multiply
    443.75x = 665.66 × 323.47
  4. Step 4: Simplify right side
    443.75x = 215,320.18
  5. Step 5: Solve for x
    x = 215,320.18/443.75
  6. Step 6: Final answer
    x = 485.23

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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.