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Finding the Fourth Proportional to 171.34, 258.21 and 163.10

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Solution

The fourth proportional to 171.34, 258.21 and 163.10 is: 245.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.34 : 258.21 = 163.10 : x
  2. Step 2: Convert to fraction form
    171.34/258.21 = 163.10/x
  3. Step 3: Cross multiply
    171.34x = 258.21 × 163.10
  4. Step 4: Simplify right side
    171.34x = 42,114.70
  5. Step 5: Solve for x
    x = 42,114.70/171.34
  6. Step 6: Final answer
    x = 245.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.