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Finding the Fourth Proportional to 443.23, 664.92 and 237.98

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Solution

The fourth proportional to 443.23, 664.92 and 237.98 is: 357.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.23 : 664.92 = 237.98 : x
  2. Step 2: Convert to fraction form
    443.23/664.92 = 237.98/x
  3. Step 3: Cross multiply
    443.23x = 664.92 × 237.98
  4. Step 4: Simplify right side
    443.23x = 158,239.32
  5. Step 5: Solve for x
    x = 158,239.32/443.23
  6. Step 6: Final answer
    x = 357.02

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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.