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Finding the Fourth Proportional to 168.80, 252.23 and 138.40

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Solution

The fourth proportional to 168.80, 252.23 and 138.40 is: 206.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.80 : 252.23 = 138.40 : x
  2. Step 2: Convert to fraction form
    168.80/252.23 = 138.40/x
  3. Step 3: Cross multiply
    168.80x = 252.23 × 138.40
  4. Step 4: Simplify right side
    168.80x = 34,908.63
  5. Step 5: Solve for x
    x = 34,908.63/168.80
  6. Step 6: Final answer
    x = 206.80

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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.