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Finding the Fourth Proportional to 388.38, 581.97 and 273.06

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Solution

The fourth proportional to 388.38, 581.97 and 273.06 is: 409.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.38 : 581.97 = 273.06 : x
  2. Step 2: Convert to fraction form
    388.38/581.97 = 273.06/x
  3. Step 3: Cross multiply
    388.38x = 581.97 × 273.06
  4. Step 4: Simplify right side
    388.38x = 158,912.73
  5. Step 5: Solve for x
    x = 158,912.73/388.38
  6. Step 6: Final answer
    x = 409.17

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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.