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Finding the Fourth Proportional to 138.61, 190.06 and 134.56

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Solution

The fourth proportional to 138.61, 190.06 and 134.56 is: 184.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.61 : 190.06 = 134.56 : x
  2. Step 2: Convert to fraction form
    138.61/190.06 = 134.56/x
  3. Step 3: Cross multiply
    138.61x = 190.06 × 134.56
  4. Step 4: Simplify right side
    138.61x = 25,574.47
  5. Step 5: Solve for x
    x = 25,574.47/138.61
  6. Step 6: Final answer
    x = 184.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.