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Finding the Fourth Proportional to 328.12, 493.22 and 320.36

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Solution

The fourth proportional to 328.12, 493.22 and 320.36 is: 481.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.12 : 493.22 = 320.36 : x
  2. Step 2: Convert to fraction form
    328.12/493.22 = 320.36/x
  3. Step 3: Cross multiply
    328.12x = 493.22 × 320.36
  4. Step 4: Simplify right side
    328.12x = 158,006.29
  5. Step 5: Solve for x
    x = 158,006.29/328.12
  6. Step 6: Final answer
    x = 481.55

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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.