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Finding the Fourth Proportional to 443.80, 665.61 and 378.82

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Solution

The fourth proportional to 443.80, 665.61 and 378.82 is: 568.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.80 : 665.61 = 378.82 : x
  2. Step 2: Convert to fraction form
    443.80/665.61 = 378.82/x
  3. Step 3: Cross multiply
    443.80x = 665.61 × 378.82
  4. Step 4: Simplify right side
    443.80x = 252,146.38
  5. Step 5: Solve for x
    x = 252,146.38/443.80
  6. Step 6: Final answer
    x = 568.15

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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.