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Finding the Fourth Proportional to 161.78, 223.09 and 149.63

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Solution

The fourth proportional to 161.78, 223.09 and 149.63 is: 206.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.78 : 223.09 = 149.63 : x
  2. Step 2: Convert to fraction form
    161.78/223.09 = 149.63/x
  3. Step 3: Cross multiply
    161.78x = 223.09 × 149.63
  4. Step 4: Simplify right side
    161.78x = 33,379.47
  5. Step 5: Solve for x
    x = 33,379.47/161.78
  6. Step 6: Final answer
    x = 206.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.