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Finding the Fourth Proportional to 161.80, 222.17 and 149.80

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Solution

The fourth proportional to 161.80, 222.17 and 149.80 is: 205.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.80 : 222.17 = 149.80 : x
  2. Step 2: Convert to fraction form
    161.80/222.17 = 149.80/x
  3. Step 3: Cross multiply
    161.80x = 222.17 × 149.80
  4. Step 4: Simplify right side
    161.80x = 33,281.07
  5. Step 5: Solve for x
    x = 33,281.07/161.80
  6. Step 6: Final answer
    x = 205.69

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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.