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Finding the Fourth Proportional to 137.98, 206.43 and 80.25

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Solution

The fourth proportional to 137.98, 206.43 and 80.25 is: 120.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.98 : 206.43 = 80.25 : x
  2. Step 2: Convert to fraction form
    137.98/206.43 = 80.25/x
  3. Step 3: Cross multiply
    137.98x = 206.43 × 80.25
  4. Step 4: Simplify right side
    137.98x = 16,566.01
  5. Step 5: Solve for x
    x = 16,566.01/137.98
  6. Step 6: Final answer
    x = 120.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.