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Finding the Fourth Proportional to 361.52, 539.67 and 315.38

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Solution

The fourth proportional to 361.52, 539.67 and 315.38 is: 470.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.52 : 539.67 = 315.38 : x
  2. Step 2: Convert to fraction form
    361.52/539.67 = 315.38/x
  3. Step 3: Cross multiply
    361.52x = 539.67 × 315.38
  4. Step 4: Simplify right side
    361.52x = 170,198.43
  5. Step 5: Solve for x
    x = 170,198.43/361.52
  6. Step 6: Final answer
    x = 470.79

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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.