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Finding the Fourth Proportional to 189.81, 262.05 and 134.61

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Solution

The fourth proportional to 189.81, 262.05 and 134.61 is: 185.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.81 : 262.05 = 134.61 : x
  2. Step 2: Convert to fraction form
    189.81/262.05 = 134.61/x
  3. Step 3: Cross multiply
    189.81x = 262.05 × 134.61
  4. Step 4: Simplify right side
    189.81x = 35,274.55
  5. Step 5: Solve for x
    x = 35,274.55/189.81
  6. Step 6: Final answer
    x = 185.84

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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.