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Finding the Fourth Proportional to 443.11, 664.28 and 169.01

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Solution

The fourth proportional to 443.11, 664.28 and 169.01 is: 253.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.11 : 664.28 = 169.01 : x
  2. Step 2: Convert to fraction form
    443.11/664.28 = 169.01/x
  3. Step 3: Cross multiply
    443.11x = 664.28 × 169.01
  4. Step 4: Simplify right side
    443.11x = 112,269.87
  5. Step 5: Solve for x
    x = 112,269.87/443.11
  6. Step 6: Final answer
    x = 253.37

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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.