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Finding the Fourth Proportional to 255.69, 352.53 and 181.89

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Solution

The fourth proportional to 255.69, 352.53 and 181.89 is: 250.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.69 : 352.53 = 181.89 : x
  2. Step 2: Convert to fraction form
    255.69/352.53 = 181.89/x
  3. Step 3: Cross multiply
    255.69x = 352.53 × 181.89
  4. Step 4: Simplify right side
    255.69x = 64,121.68
  5. Step 5: Solve for x
    x = 64,121.68/255.69
  6. Step 6: Final answer
    x = 250.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.