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Finding the Fourth Proportional to 137.75, 205.73 and 118.53

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Solution

The fourth proportional to 137.75, 205.73 and 118.53 is: 177.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.75 : 205.73 = 118.53 : x
  2. Step 2: Convert to fraction form
    137.75/205.73 = 118.53/x
  3. Step 3: Cross multiply
    137.75x = 205.73 × 118.53
  4. Step 4: Simplify right side
    137.75x = 24,384.58
  5. Step 5: Solve for x
    x = 24,384.58/137.75
  6. Step 6: Final answer
    x = 177.03

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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.