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Finding the Fourth Proportional to 161.90, 222.33 and 138.58

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Solution

The fourth proportional to 161.90, 222.33 and 138.58 is: 190.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.90 : 222.33 = 138.58 : x
  2. Step 2: Convert to fraction form
    161.90/222.33 = 138.58/x
  3. Step 3: Cross multiply
    161.90x = 222.33 × 138.58
  4. Step 4: Simplify right side
    161.90x = 30,810.77
  5. Step 5: Solve for x
    x = 30,810.77/161.90
  6. Step 6: Final answer
    x = 190.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.