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Finding the Fourth Proportional to 189.57, 261.61 and 106.67

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Solution

The fourth proportional to 189.57, 261.61 and 106.67 is: 147.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.57 : 261.61 = 106.67 : x
  2. Step 2: Convert to fraction form
    189.57/261.61 = 106.67/x
  3. Step 3: Cross multiply
    189.57x = 261.61 × 106.67
  4. Step 4: Simplify right side
    189.57x = 27,905.94
  5. Step 5: Solve for x
    x = 27,905.94/189.57
  6. Step 6: Final answer
    x = 147.21

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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.