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Finding the Fourth Proportional to 405.05, 604.41 and 361.41

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Solution

The fourth proportional to 405.05, 604.41 and 361.41 is: 539.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.05 : 604.41 = 361.41 : x
  2. Step 2: Convert to fraction form
    405.05/604.41 = 361.41/x
  3. Step 3: Cross multiply
    405.05x = 604.41 × 361.41
  4. Step 4: Simplify right side
    405.05x = 218,441.46
  5. Step 5: Solve for x
    x = 218,441.46/405.05
  6. Step 6: Final answer
    x = 539.30

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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.