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Finding the Fourth Proportional to 138.12, 190.42 and 114.72

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Solution

The fourth proportional to 138.12, 190.42 and 114.72 is: 158.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.12 : 190.42 = 114.72 : x
  2. Step 2: Convert to fraction form
    138.12/190.42 = 114.72/x
  3. Step 3: Cross multiply
    138.12x = 190.42 × 114.72
  4. Step 4: Simplify right side
    138.12x = 21,844.98
  5. Step 5: Solve for x
    x = 21,844.98/138.12
  6. Step 6: Final answer
    x = 158.16

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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.