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Finding the Fourth Proportional to 137.70, 190.14 and 137.40

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Solution

The fourth proportional to 137.70, 190.14 and 137.40 is: 189.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.70 : 190.14 = 137.40 : x
  2. Step 2: Convert to fraction form
    137.70/190.14 = 137.40/x
  3. Step 3: Cross multiply
    137.70x = 190.14 × 137.40
  4. Step 4: Simplify right side
    137.70x = 26,125.24
  5. Step 5: Solve for x
    x = 26,125.24/137.70
  6. Step 6: Final answer
    x = 189.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.