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Finding the Fourth Proportional to 161.01, 222.09 and 102.79

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Solution

The fourth proportional to 161.01, 222.09 and 102.79 is: 141.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.01 : 222.09 = 102.79 : x
  2. Step 2: Convert to fraction form
    161.01/222.09 = 102.79/x
  3. Step 3: Cross multiply
    161.01x = 222.09 × 102.79
  4. Step 4: Simplify right side
    161.01x = 22,828.63
  5. Step 5: Solve for x
    x = 22,828.63/161.01
  6. Step 6: Final answer
    x = 141.78

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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.