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Finding the Fourth Proportional to 185.72, 257.61 and 181.16

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Solution

The fourth proportional to 185.72, 257.61 and 181.16 is: 251.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.72 : 257.61 = 181.16 : x
  2. Step 2: Convert to fraction form
    185.72/257.61 = 181.16/x
  3. Step 3: Cross multiply
    185.72x = 257.61 × 181.16
  4. Step 4: Simplify right side
    185.72x = 46,668.63
  5. Step 5: Solve for x
    x = 46,668.63/185.72
  6. Step 6: Final answer
    x = 251.28

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.