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Finding the Fourth Proportional to 390.17, 585 and 273.97

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Solution

The fourth proportional to 390.17, 585 and 273.97 is: 410.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.17 : 585 = 273.97 : x
  2. Step 2: Convert to fraction form
    390.17/585 = 273.97/x
  3. Step 3: Cross multiply
    390.17x = 585 × 273.97
  4. Step 4: Simplify right side
    390.17x = 160,272.45
  5. Step 5: Solve for x
    x = 160,272.45/390.17
  6. Step 6: Final answer
    x = 410.78

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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.