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Finding the Fourth Proportional to 171.98, 258.34 and 163.24

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Solution

The fourth proportional to 171.98, 258.34 and 163.24 is: 245.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.98 : 258.34 = 163.24 : x
  2. Step 2: Convert to fraction form
    171.98/258.34 = 163.24/x
  3. Step 3: Cross multiply
    171.98x = 258.34 × 163.24
  4. Step 4: Simplify right side
    171.98x = 42,171.42
  5. Step 5: Solve for x
    x = 42,171.42/171.98
  6. Step 6: Final answer
    x = 245.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.