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Finding the Fourth Proportional to 361.27, 539.45 and 320.38

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Solution

The fourth proportional to 361.27, 539.45 and 320.38 is: 478.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.27 : 539.45 = 320.38 : x
  2. Step 2: Convert to fraction form
    361.27/539.45 = 320.38/x
  3. Step 3: Cross multiply
    361.27x = 539.45 × 320.38
  4. Step 4: Simplify right side
    361.27x = 172,828.99
  5. Step 5: Solve for x
    x = 172,828.99/361.27
  6. Step 6: Final answer
    x = 478.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.