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Finding the Fourth Proportional to 361.09, 539.56 and 257.82

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Solution

The fourth proportional to 361.09, 539.56 and 257.82 is: 385.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.09 : 539.56 = 257.82 : x
  2. Step 2: Convert to fraction form
    361.09/539.56 = 257.82/x
  3. Step 3: Cross multiply
    361.09x = 539.56 × 257.82
  4. Step 4: Simplify right side
    361.09x = 139,109.36
  5. Step 5: Solve for x
    x = 139,109.36/361.09
  6. Step 6: Final answer
    x = 385.25

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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.