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Finding the Fourth Proportional to 162.07, 222.16 and 161.80

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Solution

The fourth proportional to 162.07, 222.16 and 161.80 is: 221.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.07 : 222.16 = 161.80 : x
  2. Step 2: Convert to fraction form
    162.07/222.16 = 161.80/x
  3. Step 3: Cross multiply
    162.07x = 222.16 × 161.80
  4. Step 4: Simplify right side
    162.07x = 35,945.49
  5. Step 5: Solve for x
    x = 35,945.49/162.07
  6. Step 6: Final answer
    x = 221.79

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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.