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Finding the Fourth Proportional to 181.51, 249.45 and 163.28

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Solution

The fourth proportional to 181.51, 249.45 and 163.28 is: 224.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.51 : 249.45 = 163.28 : x
  2. Step 2: Convert to fraction form
    181.51/249.45 = 163.28/x
  3. Step 3: Cross multiply
    181.51x = 249.45 × 163.28
  4. Step 4: Simplify right side
    181.51x = 40,730.20
  5. Step 5: Solve for x
    x = 40,730.20/181.51
  6. Step 6: Final answer
    x = 224.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.