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Finding the Fourth Proportional to 173.49, 258.63 and 164.83

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Solution

The fourth proportional to 173.49, 258.63 and 164.83 is: 245.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.49 : 258.63 = 164.83 : x
  2. Step 2: Convert to fraction form
    173.49/258.63 = 164.83/x
  3. Step 3: Cross multiply
    173.49x = 258.63 × 164.83
  4. Step 4: Simplify right side
    173.49x = 42,629.98
  5. Step 5: Solve for x
    x = 42,629.98/173.49
  6. Step 6: Final answer
    x = 245.73

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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.