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Finding the Fourth Proportional to 361.46, 539.73 and 287.51

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Solution

The fourth proportional to 361.46, 539.73 and 287.51 is: 429.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.46 : 539.73 = 287.51 : x
  2. Step 2: Convert to fraction form
    361.46/539.73 = 287.51/x
  3. Step 3: Cross multiply
    361.46x = 539.73 × 287.51
  4. Step 4: Simplify right side
    361.46x = 155,175.88
  5. Step 5: Solve for x
    x = 155,175.88/361.46
  6. Step 6: Final answer
    x = 429.31

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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.