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Finding the Fourth Proportional to 326.04, 488.64 and 163.56

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Solution

The fourth proportional to 326.04, 488.64 and 163.56 is: 245.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.04 : 488.64 = 163.56 : x
  2. Step 2: Convert to fraction form
    326.04/488.64 = 163.56/x
  3. Step 3: Cross multiply
    326.04x = 488.64 × 163.56
  4. Step 4: Simplify right side
    326.04x = 79,921.96
  5. Step 5: Solve for x
    x = 79,921.96/326.04
  6. Step 6: Final answer
    x = 245.13

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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.