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Finding the Fourth Proportional to 181.90, 274.21 and 180.28

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Solution

The fourth proportional to 181.90, 274.21 and 180.28 is: 271.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.90 : 274.21 = 180.28 : x
  2. Step 2: Convert to fraction form
    181.90/274.21 = 180.28/x
  3. Step 3: Cross multiply
    181.90x = 274.21 × 180.28
  4. Step 4: Simplify right side
    181.90x = 49,434.58
  5. Step 5: Solve for x
    x = 49,434.58/181.90
  6. Step 6: Final answer
    x = 271.77

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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.