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Finding the Fourth Proportional to 173.85, 258.72 and 167.37

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Solution

The fourth proportional to 173.85, 258.72 and 167.37 is: 249.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.85 : 258.72 = 167.37 : x
  2. Step 2: Convert to fraction form
    173.85/258.72 = 167.37/x
  3. Step 3: Cross multiply
    173.85x = 258.72 × 167.37
  4. Step 4: Simplify right side
    173.85x = 43,301.97
  5. Step 5: Solve for x
    x = 43,301.97/173.85
  6. Step 6: Final answer
    x = 249.08

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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.