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Finding the Fourth Proportional to 161.20, 222.36 and 114.50

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Solution

The fourth proportional to 161.20, 222.36 and 114.50 is: 157.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.20 : 222.36 = 114.50 : x
  2. Step 2: Convert to fraction form
    161.20/222.36 = 114.50/x
  3. Step 3: Cross multiply
    161.20x = 222.36 × 114.50
  4. Step 4: Simplify right side
    161.20x = 25,460.22
  5. Step 5: Solve for x
    x = 25,460.22/161.20
  6. Step 6: Final answer
    x = 157.94

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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.