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Finding the Fourth Proportional to 161.99, 222.09 and 159.08

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Solution

The fourth proportional to 161.99, 222.09 and 159.08 is: 218.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.99 : 222.09 = 159.08 : x
  2. Step 2: Convert to fraction form
    161.99/222.09 = 159.08/x
  3. Step 3: Cross multiply
    161.99x = 222.09 × 159.08
  4. Step 4: Simplify right side
    161.99x = 35,329.66
  5. Step 5: Solve for x
    x = 35,329.66/161.99
  6. Step 6: Final answer
    x = 218.10

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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.