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Finding the Fourth Proportional to 189.81, 262.04 and 119.88

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Solution

The fourth proportional to 189.81, 262.04 and 119.88 is: 165.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.81 : 262.04 = 119.88 : x
  2. Step 2: Convert to fraction form
    189.81/262.04 = 119.88/x
  3. Step 3: Cross multiply
    189.81x = 262.04 × 119.88
  4. Step 4: Simplify right side
    189.81x = 31,412.76
  5. Step 5: Solve for x
    x = 31,412.76/189.81
  6. Step 6: Final answer
    x = 165.50

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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.