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Finding the Fourth Proportional to 505.97, 698.31 and 296.21

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Solution

The fourth proportional to 505.97, 698.31 and 296.21 is: 408.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.97 : 698.31 = 296.21 : x
  2. Step 2: Convert to fraction form
    505.97/698.31 = 296.21/x
  3. Step 3: Cross multiply
    505.97x = 698.31 × 296.21
  4. Step 4: Simplify right side
    505.97x = 206,842.91
  5. Step 5: Solve for x
    x = 206,842.91/505.97
  6. Step 6: Final answer
    x = 408.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.