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Finding the Fourth Proportional to 419.25, 626.13 and 361.59

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Solution

The fourth proportional to 419.25, 626.13 and 361.59 is: 540.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.25 : 626.13 = 361.59 : x
  2. Step 2: Convert to fraction form
    419.25/626.13 = 361.59/x
  3. Step 3: Cross multiply
    419.25x = 626.13 × 361.59
  4. Step 4: Simplify right side
    419.25x = 226,402.35
  5. Step 5: Solve for x
    x = 226,402.35/419.25
  6. Step 6: Final answer
    x = 540.02

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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.