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Finding the Fourth Proportional to 181.26, 270.69 and 142.65

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Solution

The fourth proportional to 181.26, 270.69 and 142.65 is: 213.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.26 : 270.69 = 142.65 : x
  2. Step 2: Convert to fraction form
    181.26/270.69 = 142.65/x
  3. Step 3: Cross multiply
    181.26x = 270.69 × 142.65
  4. Step 4: Simplify right side
    181.26x = 38,613.93
  5. Step 5: Solve for x
    x = 38,613.93/181.26
  6. Step 6: Final answer
    x = 213.03

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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.