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Finding the Fourth Proportional to 138.72, 190.27 and 130.83

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Solution

The fourth proportional to 138.72, 190.27 and 130.83 is: 179.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.72 : 190.27 = 130.83 : x
  2. Step 2: Convert to fraction form
    138.72/190.27 = 130.83/x
  3. Step 3: Cross multiply
    138.72x = 190.27 × 130.83
  4. Step 4: Simplify right side
    138.72x = 24,892.70
  5. Step 5: Solve for x
    x = 24,892.70/138.72
  6. Step 6: Final answer
    x = 179.45

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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.