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Finding the Fourth Proportional to 138.50, 189.71 and 136.74

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Solution

The fourth proportional to 138.50, 189.71 and 136.74 is: 187.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.50 : 189.71 = 136.74 : x
  2. Step 2: Convert to fraction form
    138.50/189.71 = 136.74/x
  3. Step 3: Cross multiply
    138.50x = 189.71 × 136.74
  4. Step 4: Simplify right side
    138.50x = 25,940.95
  5. Step 5: Solve for x
    x = 25,940.95/138.50
  6. Step 6: Final answer
    x = 187.30

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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.