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Finding the Fourth Proportional to 161.23, 223.47 and 158.62

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Solution

The fourth proportional to 161.23, 223.47 and 158.62 is: 219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.23 : 223.47 = 158.62 : x
  2. Step 2: Convert to fraction form
    161.23/223.47 = 158.62/x
  3. Step 3: Cross multiply
    161.23x = 223.47 × 158.62
  4. Step 4: Simplify right side
    161.23x = 35,446.81
  5. Step 5: Solve for x
    x = 35,446.81/161.23
  6. Step 6: Final answer
    x = 219.85

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.