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Finding the Fourth Proportional to 189.71, 261.83 and 119.79

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Solution

The fourth proportional to 189.71, 261.83 and 119.79 is: 165.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.71 : 261.83 = 119.79 : x
  2. Step 2: Convert to fraction form
    189.71/261.83 = 119.79/x
  3. Step 3: Cross multiply
    189.71x = 261.83 × 119.79
  4. Step 4: Simplify right side
    189.71x = 31,364.02
  5. Step 5: Solve for x
    x = 31,364.02/189.71
  6. Step 6: Final answer
    x = 165.33

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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.