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Finding the Fourth Proportional to 138.00, 189.34 and 134.41

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Solution

The fourth proportional to 138.00, 189.34 and 134.41 is: 184.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.00 : 189.34 = 134.41 : x
  2. Step 2: Convert to fraction form
    138.00/189.34 = 134.41/x
  3. Step 3: Cross multiply
    138.00x = 189.34 × 134.41
  4. Step 4: Simplify right side
    138.00x = 25,448.74
  5. Step 5: Solve for x
    x = 25,448.74/138.00
  6. Step 6: Final answer
    x = 184.41

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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.