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Finding the Fourth Proportional to 189.18, 259.81 and 161.55

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Solution

The fourth proportional to 189.18, 259.81 and 161.55 is: 221.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.18 : 259.81 = 161.55 : x
  2. Step 2: Convert to fraction form
    189.18/259.81 = 161.55/x
  3. Step 3: Cross multiply
    189.18x = 259.81 × 161.55
  4. Step 4: Simplify right side
    189.18x = 41,971.90
  5. Step 5: Solve for x
    x = 41,971.90/189.18
  6. Step 6: Final answer
    x = 221.86

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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.