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Finding the Fourth Proportional to 137.90, 189.02 and 136.96

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Solution

The fourth proportional to 137.90, 189.02 and 136.96 is: 187.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.90 : 189.02 = 136.96 : x
  2. Step 2: Convert to fraction form
    137.90/189.02 = 136.96/x
  3. Step 3: Cross multiply
    137.90x = 189.02 × 136.96
  4. Step 4: Simplify right side
    137.90x = 25,888.18
  5. Step 5: Solve for x
    x = 25,888.18/137.90
  6. Step 6: Final answer
    x = 187.73

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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.