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Finding the Fourth Proportional to 443.52, 663.69 and 270.23

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Solution

The fourth proportional to 443.52, 663.69 and 270.23 is: 404.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.52 : 663.69 = 270.23 : x
  2. Step 2: Convert to fraction form
    443.52/663.69 = 270.23/x
  3. Step 3: Cross multiply
    443.52x = 663.69 × 270.23
  4. Step 4: Simplify right side
    443.52x = 179,347.60
  5. Step 5: Solve for x
    x = 179,347.60/443.52
  6. Step 6: Final answer
    x = 404.37

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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.