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Finding the Fourth Proportional to 258.99, 389.29 and 163.41

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Solution

The fourth proportional to 258.99, 389.29 and 163.41 is: 245.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.99 : 389.29 = 163.41 : x
  2. Step 2: Convert to fraction form
    258.99/389.29 = 163.41/x
  3. Step 3: Cross multiply
    258.99x = 389.29 × 163.41
  4. Step 4: Simplify right side
    258.99x = 63,613.88
  5. Step 5: Solve for x
    x = 63,613.88/258.99
  6. Step 6: Final answer
    x = 245.62

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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.