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Finding the Fourth Proportional to 137.12, 187.61 and 136.55

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Solution

The fourth proportional to 137.12, 187.61 and 136.55 is: 186.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.12 : 187.61 = 136.55 : x
  2. Step 2: Convert to fraction form
    137.12/187.61 = 136.55/x
  3. Step 3: Cross multiply
    137.12x = 187.61 × 136.55
  4. Step 4: Simplify right side
    137.12x = 25,618.15
  5. Step 5: Solve for x
    x = 25,618.15/137.12
  6. Step 6: Final answer
    x = 186.83

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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.