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Finding the Fourth Proportional to 273.04, 408.48 and 187.36

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Solution

The fourth proportional to 273.04, 408.48 and 187.36 is: 280.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.04 : 408.48 = 187.36 : x
  2. Step 2: Convert to fraction form
    273.04/408.48 = 187.36/x
  3. Step 3: Cross multiply
    273.04x = 408.48 × 187.36
  4. Step 4: Simplify right side
    273.04x = 76,532.81
  5. Step 5: Solve for x
    x = 76,532.81/273.04
  6. Step 6: Final answer
    x = 280.30

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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.