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Finding the Fourth Proportional to 161.42, 221.30 and 153.60

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Solution

The fourth proportional to 161.42, 221.30 and 153.60 is: 210.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.42 : 221.30 = 153.60 : x
  2. Step 2: Convert to fraction form
    161.42/221.30 = 153.60/x
  3. Step 3: Cross multiply
    161.42x = 221.30 × 153.60
  4. Step 4: Simplify right side
    161.42x = 33,991.68
  5. Step 5: Solve for x
    x = 33,991.68/161.42
  6. Step 6: Final answer
    x = 210.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.