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Finding the Fourth Proportional to 443.88, 665.82 and 289.78

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Solution

The fourth proportional to 443.88, 665.82 and 289.78 is: 434.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.88 : 665.82 = 289.78 : x
  2. Step 2: Convert to fraction form
    443.88/665.82 = 289.78/x
  3. Step 3: Cross multiply
    443.88x = 665.82 × 289.78
  4. Step 4: Simplify right side
    443.88x = 192,939.66
  5. Step 5: Solve for x
    x = 192,939.66/443.88
  6. Step 6: Final answer
    x = 434.67

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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.