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Finding the Fourth Proportional to 161.06, 222.17 and 98.84

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Solution

The fourth proportional to 161.06, 222.17 and 98.84 is: 136.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.06 : 222.17 = 98.84 : x
  2. Step 2: Convert to fraction form
    161.06/222.17 = 98.84/x
  3. Step 3: Cross multiply
    161.06x = 222.17 × 98.84
  4. Step 4: Simplify right side
    161.06x = 21,959.34
  5. Step 5: Solve for x
    x = 21,959.34/161.06
  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.