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Finding the Fourth Proportional to 189.72, 261.67 and 123.34

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Solution

The fourth proportional to 189.72, 261.67 and 123.34 is: 170.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.72 : 261.67 = 123.34 : x
  2. Step 2: Convert to fraction form
    189.72/261.67 = 123.34/x
  3. Step 3: Cross multiply
    189.72x = 261.67 × 123.34
  4. Step 4: Simplify right side
    189.72x = 32,274.38
  5. Step 5: Solve for x
    x = 32,274.38/189.72
  6. Step 6: Final answer
    x = 170.12

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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.