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Finding the Fourth Proportional to 326.14, 488.43 and 181.78

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Solution

The fourth proportional to 326.14, 488.43 and 181.78 is: 272.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.14 : 488.43 = 181.78 : x
  2. Step 2: Convert to fraction form
    326.14/488.43 = 181.78/x
  3. Step 3: Cross multiply
    326.14x = 488.43 × 181.78
  4. Step 4: Simplify right side
    326.14x = 88,786.81
  5. Step 5: Solve for x
    x = 88,786.81/326.14
  6. Step 6: Final answer
    x = 272.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.