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Finding the Fourth Proportional to 419.13, 627.96 and 273.03

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Solution

The fourth proportional to 419.13, 627.96 and 273.03 is: 409.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.13 : 627.96 = 273.03 : x
  2. Step 2: Convert to fraction form
    419.13/627.96 = 273.03/x
  3. Step 3: Cross multiply
    419.13x = 627.96 × 273.03
  4. Step 4: Simplify right side
    419.13x = 171,451.92
  5. Step 5: Solve for x
    x = 171,451.92/419.13
  6. Step 6: Final answer
    x = 409.07

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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.