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Finding the Fourth Proportional to 137.94, 190.45 and 128.76

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Solution

The fourth proportional to 137.94, 190.45 and 128.76 is: 177.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.94 : 190.45 = 128.76 : x
  2. Step 2: Convert to fraction form
    137.94/190.45 = 128.76/x
  3. Step 3: Cross multiply
    137.94x = 190.45 × 128.76
  4. Step 4: Simplify right side
    137.94x = 24,521.79
  5. Step 5: Solve for x
    x = 24,521.79/137.94
  6. Step 6: Final answer
    x = 177.78

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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.