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Finding the Fourth Proportional to 181.75, 270.89 and 171.50

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Solution

The fourth proportional to 181.75, 270.89 and 171.50 is: 255.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.75 : 270.89 = 171.50 : x
  2. Step 2: Convert to fraction form
    181.75/270.89 = 171.50/x
  3. Step 3: Cross multiply
    181.75x = 270.89 × 171.50
  4. Step 4: Simplify right side
    181.75x = 46,457.64
  5. Step 5: Solve for x
    x = 46,457.64/181.75
  6. Step 6: Final answer
    x = 255.61

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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.