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Finding the Fourth Proportional to 137.92, 190.58 and 113.35

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Solution

The fourth proportional to 137.92, 190.58 and 113.35 is: 156.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.92 : 190.58 = 113.35 : x
  2. Step 2: Convert to fraction form
    137.92/190.58 = 113.35/x
  3. Step 3: Cross multiply
    137.92x = 190.58 × 113.35
  4. Step 4: Simplify right side
    137.92x = 21,600.72
  5. Step 5: Solve for x
    x = 21,600.72/137.92
  6. Step 6: Final answer
    x = 156.62

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