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Finding the Fourth Proportional to 405.11, 604.51 and 361.48

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Solution

The fourth proportional to 405.11, 604.51 and 361.48 is: 539.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.11 : 604.51 = 361.48 : x
  2. Step 2: Convert to fraction form
    405.11/604.51 = 361.48/x
  3. Step 3: Cross multiply
    405.11x = 604.51 × 361.48
  4. Step 4: Simplify right side
    405.11x = 218,515.18
  5. Step 5: Solve for x
    x = 218,515.18/405.11
  6. Step 6: Final answer
    x = 539.40

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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.