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Finding the Fourth Proportional to 189.19, 261.12 and 161.68

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Solution

The fourth proportional to 189.19, 261.12 and 161.68 is: 223.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.19 : 261.12 = 161.68 : x
  2. Step 2: Convert to fraction form
    189.19/261.12 = 161.68/x
  3. Step 3: Cross multiply
    189.19x = 261.12 × 161.68
  4. Step 4: Simplify right side
    189.19x = 42,217.88
  5. Step 5: Solve for x
    x = 42,217.88/189.19
  6. Step 6: Final answer
    x = 223.15

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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.