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Finding the Fourth Proportional to 328.43, 492.75 and 109.22

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Solution

The fourth proportional to 328.43, 492.75 and 109.22 is: 163.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.43 : 492.75 = 109.22 : x
  2. Step 2: Convert to fraction form
    328.43/492.75 = 109.22/x
  3. Step 3: Cross multiply
    328.43x = 492.75 × 109.22
  4. Step 4: Simplify right side
    328.43x = 53,815.69
  5. Step 5: Solve for x
    x = 53,815.69/328.43
  6. Step 6: Final answer
    x = 163.86

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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.