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Finding the Fourth Proportional to 405.71, 557.81 and 361.02

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Solution

The fourth proportional to 405.71, 557.81 and 361.02 is: 496.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.71 : 557.81 = 361.02 : x
  2. Step 2: Convert to fraction form
    405.71/557.81 = 361.02/x
  3. Step 3: Cross multiply
    405.71x = 557.81 × 361.02
  4. Step 4: Simplify right side
    405.71x = 201,380.57
  5. Step 5: Solve for x
    x = 201,380.57/405.71
  6. Step 6: Final answer
    x = 496.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.