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Finding the Fourth Proportional to 176.12, 241.81 and 171.61

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Solution

The fourth proportional to 176.12, 241.81 and 171.61 is: 235.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.12 : 241.81 = 171.61 : x
  2. Step 2: Convert to fraction form
    176.12/241.81 = 171.61/x
  3. Step 3: Cross multiply
    176.12x = 241.81 × 171.61
  4. Step 4: Simplify right side
    176.12x = 41,496.62
  5. Step 5: Solve for x
    x = 41,496.62/176.12
  6. Step 6: Final answer
    x = 235.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.