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Finding the Fourth Proportional to 404.04, 605.46 and 273.72

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Solution

The fourth proportional to 404.04, 605.46 and 273.72 is: 410.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.04 : 605.46 = 273.72 : x
  2. Step 2: Convert to fraction form
    404.04/605.46 = 273.72/x
  3. Step 3: Cross multiply
    404.04x = 605.46 × 273.72
  4. Step 4: Simplify right side
    404.04x = 165,726.51
  5. Step 5: Solve for x
    x = 165,726.51/404.04
  6. Step 6: Final answer
    x = 410.17

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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.