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Finding the Fourth Proportional to 506.15, 698.26 and 296.34

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Solution

The fourth proportional to 506.15, 698.26 and 296.34 is: 408.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.15 : 698.26 = 296.34 : x
  2. Step 2: Convert to fraction form
    506.15/698.26 = 296.34/x
  3. Step 3: Cross multiply
    506.15x = 698.26 × 296.34
  4. Step 4: Simplify right side
    506.15x = 206,919.01
  5. Step 5: Solve for x
    x = 206,919.01/506.15
  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.