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Finding the Fourth Proportional to 161.97, 223.60 and 153.14

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Solution

The fourth proportional to 161.97, 223.60 and 153.14 is: 211.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.97 : 223.60 = 153.14 : x
  2. Step 2: Convert to fraction form
    161.97/223.60 = 153.14/x
  3. Step 3: Cross multiply
    161.97x = 223.60 × 153.14
  4. Step 4: Simplify right side
    161.97x = 34,242.85
  5. Step 5: Solve for x
    x = 34,242.85/161.97
  6. Step 6: Final answer
    x = 211.41

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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.