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Finding the Fourth Proportional to 173.92, 259.61 and 161.07

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Solution

The fourth proportional to 173.92, 259.61 and 161.07 is: 240.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.92 : 259.61 = 161.07 : x
  2. Step 2: Convert to fraction form
    173.92/259.61 = 161.07/x
  3. Step 3: Cross multiply
    173.92x = 259.61 × 161.07
  4. Step 4: Simplify right side
    173.92x = 41,814.88
  5. Step 5: Solve for x
    x = 41,814.88/173.92
  6. Step 6: Final answer
    x = 240.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.