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Finding the Fourth Proportional to 138.43, 189.64 and 133.23

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Solution

The fourth proportional to 138.43, 189.64 and 133.23 is: 182.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.43 : 189.64 = 133.23 : x
  2. Step 2: Convert to fraction form
    138.43/189.64 = 133.23/x
  3. Step 3: Cross multiply
    138.43x = 189.64 × 133.23
  4. Step 4: Simplify right side
    138.43x = 25,265.74
  5. Step 5: Solve for x
    x = 25,265.74/138.43
  6. Step 6: Final answer
    x = 182.52

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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.