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Finding the Fourth Proportional to 161.03, 222.17 and 98.83

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Solution

The fourth proportional to 161.03, 222.17 and 98.83 is: 136.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.03 : 222.17 = 98.83 : x
  2. Step 2: Convert to fraction form
    161.03/222.17 = 98.83/x
  3. Step 3: Cross multiply
    161.03x = 222.17 × 98.83
  4. Step 4: Simplify right side
    161.03x = 21,957.06
  5. Step 5: Solve for x
    x = 21,957.06/161.03
  6. Step 6: Final answer
    x = 136.35

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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.