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Finding the Fourth Proportional to 181.97, 274.33 and 170.23

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Solution

The fourth proportional to 181.97, 274.33 and 170.23 is: 256.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.97 : 274.33 = 170.23 : x
  2. Step 2: Convert to fraction form
    181.97/274.33 = 170.23/x
  3. Step 3: Cross multiply
    181.97x = 274.33 × 170.23
  4. Step 4: Simplify right side
    181.97x = 46,698.08
  5. Step 5: Solve for x
    x = 46,698.08/181.97
  6. Step 6: Final answer
    x = 256.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.