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Finding the Fourth Proportional to 423.65, 635.24 and 163.71

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Solution

The fourth proportional to 423.65, 635.24 and 163.71 is: 245.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.65 : 635.24 = 163.71 : x
  2. Step 2: Convert to fraction form
    423.65/635.24 = 163.71/x
  3. Step 3: Cross multiply
    423.65x = 635.24 × 163.71
  4. Step 4: Simplify right side
    423.65x = 103,996.73
  5. Step 5: Solve for x
    x = 103,996.73/423.65
  6. Step 6: Final answer
    x = 245.48

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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.