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Finding the Fourth Proportional to 328.73, 493.03 and 109.32

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Solution

The fourth proportional to 328.73, 493.03 and 109.32 is: 163.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.73 : 493.03 = 109.32 : x
  2. Step 2: Convert to fraction form
    328.73/493.03 = 109.32/x
  3. Step 3: Cross multiply
    328.73x = 493.03 × 109.32
  4. Step 4: Simplify right side
    328.73x = 53,899.55
  5. Step 5: Solve for x
    x = 53,899.55/328.73
  6. Step 6: Final answer
    x = 163.96

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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.