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Finding the Fourth Proportional to 138, 190.41 and 102.91

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Solution

The fourth proportional to 138, 190.41 and 102.91 is: 141.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    138 : 190.41 = 102.91 : x
  2. Step 2: Convert to fraction form
    138/190.41 = 102.91/x
  3. Step 3: Cross multiply
    138x = 190.41 × 102.91
  4. Step 4: Simplify right side
    138x = 19,595.09
  5. Step 5: Solve for x
    x = 19,595.09/138
  6. Step 6: Final answer
    x = 141.99

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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.