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Finding the Fourth Proportional to 181.80, 249.84 and 169.56

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Solution

The fourth proportional to 181.80, 249.84 and 169.56 is: 233.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.80 : 249.84 = 169.56 : x
  2. Step 2: Convert to fraction form
    181.80/249.84 = 169.56/x
  3. Step 3: Cross multiply
    181.80x = 249.84 × 169.56
  4. Step 4: Simplify right side
    181.80x = 42,362.87
  5. Step 5: Solve for x
    x = 42,362.87/181.80
  6. Step 6: Final answer
    x = 233.02

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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.