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Finding the Fourth Proportional to 173.38, 258.49 and 163.05

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Solution

The fourth proportional to 173.38, 258.49 and 163.05 is: 243.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.38 : 258.49 = 163.05 : x
  2. Step 2: Convert to fraction form
    173.38/258.49 = 163.05/x
  3. Step 3: Cross multiply
    173.38x = 258.49 × 163.05
  4. Step 4: Simplify right side
    173.38x = 42,145.98
  5. Step 5: Solve for x
    x = 42,145.98/173.38
  6. Step 6: Final answer
    x = 243.08

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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.