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Finding the Fourth Proportional to 137.97, 205.67 and 118.80

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Solution

The fourth proportional to 137.97, 205.67 and 118.80 is: 177.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.97 : 205.67 = 118.80 : x
  2. Step 2: Convert to fraction form
    137.97/205.67 = 118.80/x
  3. Step 3: Cross multiply
    137.97x = 205.67 × 118.80
  4. Step 4: Simplify right side
    137.97x = 24,433.89
  5. Step 5: Solve for x
    x = 24,433.89/137.97
  6. Step 6: Final answer
    x = 177.10

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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.