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Finding the Fourth Proportional to 365.28, 547.29 and 273.84

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Solution

The fourth proportional to 365.28, 547.29 and 273.84 is: 410.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.28 : 547.29 = 273.84 : x
  2. Step 2: Convert to fraction form
    365.28/547.29 = 273.84/x
  3. Step 3: Cross multiply
    365.28x = 547.29 × 273.84
  4. Step 4: Simplify right side
    365.28x = 149,869.89
  5. Step 5: Solve for x
    x = 149,869.89/365.28
  6. Step 6: Final answer
    x = 410.29

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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.