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Finding the Fourth Proportional to 535.96, 739.52 and 299.91

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Solution

The fourth proportional to 535.96, 739.52 and 299.91 is: 413.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.96 : 739.52 = 299.91 : x
  2. Step 2: Convert to fraction form
    535.96/739.52 = 299.91/x
  3. Step 3: Cross multiply
    535.96x = 739.52 × 299.91
  4. Step 4: Simplify right side
    535.96x = 221,789.44
  5. Step 5: Solve for x
    x = 221,789.44/535.96
  6. Step 6: Final answer
    x = 413.82

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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.