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Finding the Fourth Proportional to 443.98, 666.17 and 238.31

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Solution

The fourth proportional to 443.98, 666.17 and 238.31 is: 357.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.98 : 666.17 = 238.31 : x
  2. Step 2: Convert to fraction form
    443.98/666.17 = 238.31/x
  3. Step 3: Cross multiply
    443.98x = 666.17 × 238.31
  4. Step 4: Simplify right side
    443.98x = 158,753.84
  5. Step 5: Solve for x
    x = 158,753.84/443.98
  6. Step 6: Final answer
    x = 357.57

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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.