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Finding the Fourth Proportional to 443.30, 664.91 and 183.23

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Solution

The fourth proportional to 443.30, 664.91 and 183.23 is: 274.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.30 : 664.91 = 183.23 : x
  2. Step 2: Convert to fraction form
    443.30/664.91 = 183.23/x
  3. Step 3: Cross multiply
    443.30x = 664.91 × 183.23
  4. Step 4: Simplify right side
    443.30x = 121,830.40
  5. Step 5: Solve for x
    x = 121,830.40/443.30
  6. Step 6: Final answer
    x = 274.83

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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.