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Finding the Fourth Proportional to 137.28, 187.82 and 136.70

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Solution

The fourth proportional to 137.28, 187.82 and 136.70 is: 187.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.28 : 187.82 = 136.70 : x
  2. Step 2: Convert to fraction form
    137.28/187.82 = 136.70/x
  3. Step 3: Cross multiply
    137.28x = 187.82 × 136.70
  4. Step 4: Simplify right side
    137.28x = 25,674.99
  5. Step 5: Solve for x
    x = 25,674.99/137.28
  6. Step 6: Final answer
    x = 187.03

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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.