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Finding the Fourth Proportional to 138.03, 190.41 and 94.29

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Solution

The fourth proportional to 138.03, 190.41 and 94.29 is: 130.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.03 : 190.41 = 94.29 : x
  2. Step 2: Convert to fraction form
    138.03/190.41 = 94.29/x
  3. Step 3: Cross multiply
    138.03x = 190.41 × 94.29
  4. Step 4: Simplify right side
    138.03x = 17,953.89
  5. Step 5: Solve for x
    x = 17,953.89/138.03
  6. Step 6: Final answer
    x = 130.07

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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.