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Finding the Fourth Proportional to 181.68, 249.18 and 168.24

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Solution

The fourth proportional to 181.68, 249.18 and 168.24 is: 230.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.68 : 249.18 = 168.24 : x
  2. Step 2: Convert to fraction form
    181.68/249.18 = 168.24/x
  3. Step 3: Cross multiply
    181.68x = 249.18 × 168.24
  4. Step 4: Simplify right side
    181.68x = 41,922.04
  5. Step 5: Solve for x
    x = 41,922.04/181.68
  6. Step 6: Final answer
    x = 230.75

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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.