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Finding the Fourth Proportional to 138.94, 191.40 and 97.41

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Solution

The fourth proportional to 138.94, 191.40 and 97.41 is: 134.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.94 : 191.40 = 97.41 : x
  2. Step 2: Convert to fraction form
    138.94/191.40 = 97.41/x
  3. Step 3: Cross multiply
    138.94x = 191.40 × 97.41
  4. Step 4: Simplify right side
    138.94x = 18,644.27
  5. Step 5: Solve for x
    x = 18,644.27/138.94
  6. Step 6: Final answer
    x = 134.19

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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.