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Finding the Fourth Proportional to 173.26, 258.26 and 168.40

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Solution

The fourth proportional to 173.26, 258.26 and 168.40 is: 251.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.26 : 258.26 = 168.40 : x
  2. Step 2: Convert to fraction form
    173.26/258.26 = 168.40/x
  3. Step 3: Cross multiply
    173.26x = 258.26 × 168.40
  4. Step 4: Simplify right side
    173.26x = 43,490.98
  5. Step 5: Solve for x
    x = 43,490.98/173.26
  6. Step 6: Final answer
    x = 251.02

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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.