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Finding the Fourth Proportional to 171.96, 259.49 and 163.14

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Solution

The fourth proportional to 171.96, 259.49 and 163.14 is: 246.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.96 : 259.49 = 163.14 : x
  2. Step 2: Convert to fraction form
    171.96/259.49 = 163.14/x
  3. Step 3: Cross multiply
    171.96x = 259.49 × 163.14
  4. Step 4: Simplify right side
    171.96x = 42,333.20
  5. Step 5: Solve for x
    x = 42,333.20/171.96
  6. Step 6: Final answer
    x = 246.18

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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.