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Finding the Fourth Proportional to 419.23, 627.81 and 361.18

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Solution

The fourth proportional to 419.23, 627.81 and 361.18 is: 540.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.23 : 627.81 = 361.18 : x
  2. Step 2: Convert to fraction form
    419.23/627.81 = 361.18/x
  3. Step 3: Cross multiply
    419.23x = 627.81 × 361.18
  4. Step 4: Simplify right side
    419.23x = 226,752.42
  5. Step 5: Solve for x
    x = 226,752.42/419.23
  6. Step 6: Final answer
    x = 540.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.