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Finding the Fourth Proportional to 161.56, 221.68 and 160.03

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Solution

The fourth proportional to 161.56, 221.68 and 160.03 is: 219.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.56 : 221.68 = 160.03 : x
  2. Step 2: Convert to fraction form
    161.56/221.68 = 160.03/x
  3. Step 3: Cross multiply
    161.56x = 221.68 × 160.03
  4. Step 4: Simplify right side
    161.56x = 35,475.45
  5. Step 5: Solve for x
    x = 35,475.45/161.56
  6. Step 6: Final answer
    x = 219.58

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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.