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Finding the Fourth Proportional to 361.36, 539.57 and 310.06

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Solution

The fourth proportional to 361.36, 539.57 and 310.06 is: 462.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.36 : 539.57 = 310.06 : x
  2. Step 2: Convert to fraction form
    361.36/539.57 = 310.06/x
  3. Step 3: Cross multiply
    361.36x = 539.57 × 310.06
  4. Step 4: Simplify right side
    361.36x = 167,299.07
  5. Step 5: Solve for x
    x = 167,299.07/361.36
  6. Step 6: Final answer
    x = 462.97

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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.