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Finding the Fourth Proportional to 138.55, 189.82 and 133.36

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Solution

The fourth proportional to 138.55, 189.82 and 133.36 is: 182.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.55 : 189.82 = 133.36 : x
  2. Step 2: Convert to fraction form
    138.55/189.82 = 133.36/x
  3. Step 3: Cross multiply
    138.55x = 189.82 × 133.36
  4. Step 4: Simplify right side
    138.55x = 25,313.83
  5. Step 5: Solve for x
    x = 25,313.83/138.55
  6. Step 6: Final answer
    x = 182.70

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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.