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Finding the Fourth Proportional to 138.21, 189.84 and 134.11

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Solution

The fourth proportional to 138.21, 189.84 and 134.11 is: 184.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.21 : 189.84 = 134.11 : x
  2. Step 2: Convert to fraction form
    138.21/189.84 = 134.11/x
  3. Step 3: Cross multiply
    138.21x = 189.84 × 134.11
  4. Step 4: Simplify right side
    138.21x = 25,459.11
  5. Step 5: Solve for x
    x = 25,459.11/138.21
  6. Step 6: Final answer
    x = 184.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.