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Finding the Fourth Proportional to 189.81, 261.94 and 105.79

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Solution

The fourth proportional to 189.81, 261.94 and 105.79 is: 145.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.81 : 261.94 = 105.79 : x
  2. Step 2: Convert to fraction form
    189.81/261.94 = 105.79/x
  3. Step 3: Cross multiply
    189.81x = 261.94 × 105.79
  4. Step 4: Simplify right side
    189.81x = 27,710.11
  5. Step 5: Solve for x
    x = 27,710.11/189.81
  6. Step 6: Final answer
    x = 145.99

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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.