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Finding the Fourth Proportional to 173.06, 257.79 and 167.14

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Solution

The fourth proportional to 173.06, 257.79 and 167.14 is: 248.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.06 : 257.79 = 167.14 : x
  2. Step 2: Convert to fraction form
    173.06/257.79 = 167.14/x
  3. Step 3: Cross multiply
    173.06x = 257.79 × 167.14
  4. Step 4: Simplify right side
    173.06x = 43,087.02
  5. Step 5: Solve for x
    x = 43,087.02/173.06
  6. Step 6: Final answer
    x = 248.97

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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.