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Finding the Fourth Proportional to 138.50, 206.37 and 130.22

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Solution

The fourth proportional to 138.50, 206.37 and 130.22 is: 194.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.50 : 206.37 = 130.22 : x
  2. Step 2: Convert to fraction form
    138.50/206.37 = 130.22/x
  3. Step 3: Cross multiply
    138.50x = 206.37 × 130.22
  4. Step 4: Simplify right side
    138.50x = 26,872.85
  5. Step 5: Solve for x
    x = 26,872.85/138.50
  6. Step 6: Final answer
    x = 194.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.