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Finding the Fourth Proportional to 363.27, 546.96 and 320.21

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Solution

The fourth proportional to 363.27, 546.96 and 320.21 is: 482.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.27 : 546.96 = 320.21 : x
  2. Step 2: Convert to fraction form
    363.27/546.96 = 320.21/x
  3. Step 3: Cross multiply
    363.27x = 546.96 × 320.21
  4. Step 4: Simplify right side
    363.27x = 175,141.42
  5. Step 5: Solve for x
    x = 175,141.42/363.27
  6. Step 6: Final answer
    x = 482.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.