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Finding the Fourth Proportional to 443.23, 665.08 and 289.12

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Solution

The fourth proportional to 443.23, 665.08 and 289.12 is: 433.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.23 : 665.08 = 289.12 : x
  2. Step 2: Convert to fraction form
    443.23/665.08 = 289.12/x
  3. Step 3: Cross multiply
    443.23x = 665.08 × 289.12
  4. Step 4: Simplify right side
    443.23x = 192,287.93
  5. Step 5: Solve for x
    x = 192,287.93/443.23
  6. Step 6: Final answer
    x = 433.83

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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.