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Finding the Fourth Proportional to 161.21, 222.44 and 91.27

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Solution

The fourth proportional to 161.21, 222.44 and 91.27 is: 125.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.21 : 222.44 = 91.27 : x
  2. Step 2: Convert to fraction form
    161.21/222.44 = 91.27/x
  3. Step 3: Cross multiply
    161.21x = 222.44 × 91.27
  4. Step 4: Simplify right side
    161.21x = 20,301.77
  5. Step 5: Solve for x
    x = 20,301.77/161.21
  6. Step 6: Final answer
    x = 125.93

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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.