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Finding the Fourth Proportional to 173.75, 258.97 and 168.12

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Solution

The fourth proportional to 173.75, 258.97 and 168.12 is: 250.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.75 : 258.97 = 168.12 : x
  2. Step 2: Convert to fraction form
    173.75/258.97 = 168.12/x
  3. Step 3: Cross multiply
    173.75x = 258.97 × 168.12
  4. Step 4: Simplify right side
    173.75x = 43,538.04
  5. Step 5: Solve for x
    x = 43,538.04/173.75
  6. Step 6: Final answer
    x = 250.58

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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.