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Finding the Fourth Proportional to 161.96, 222.63 and 145.22

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Solution

The fourth proportional to 161.96, 222.63 and 145.22 is: 199.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.96 : 222.63 = 145.22 : x
  2. Step 2: Convert to fraction form
    161.96/222.63 = 145.22/x
  3. Step 3: Cross multiply
    161.96x = 222.63 × 145.22
  4. Step 4: Simplify right side
    161.96x = 32,329.60
  5. Step 5: Solve for x
    x = 32,329.60/161.96
  6. Step 6: Final answer
    x = 199.61

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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.