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Finding the Fourth Proportional to 389.69, 584.49 and 173.22

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Solution

The fourth proportional to 389.69, 584.49 and 173.22 is: 259.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.69 : 584.49 = 173.22 : x
  2. Step 2: Convert to fraction form
    389.69/584.49 = 173.22/x
  3. Step 3: Cross multiply
    389.69x = 584.49 × 173.22
  4. Step 4: Simplify right side
    389.69x = 101,244.49
  5. Step 5: Solve for x
    x = 101,244.49/389.69
  6. Step 6: Final answer
    x = 259.81

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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.