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Finding the Fourth Proportional to 443.65, 665.34 and 238.09

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Solution

The fourth proportional to 443.65, 665.34 and 238.09 is: 357.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.65 : 665.34 = 238.09 : x
  2. Step 2: Convert to fraction form
    443.65/665.34 = 238.09/x
  3. Step 3: Cross multiply
    443.65x = 665.34 × 238.09
  4. Step 4: Simplify right side
    443.65x = 158,410.80
  5. Step 5: Solve for x
    x = 158,410.80/443.65
  6. Step 6: Final answer
    x = 357.06

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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.