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Finding the Fourth Proportional to 161.24, 222.44 and 99.05

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Solution

The fourth proportional to 161.24, 222.44 and 99.05 is: 136.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.24 : 222.44 = 99.05 : x
  2. Step 2: Convert to fraction form
    161.24/222.44 = 99.05/x
  3. Step 3: Cross multiply
    161.24x = 222.44 × 99.05
  4. Step 4: Simplify right side
    161.24x = 22,033.34
  5. Step 5: Solve for x
    x = 22,033.34/161.24
  6. Step 6: Final answer
    x = 136.65

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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.