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Finding the Fourth Proportional to 535.65, 739.15 and 296.33

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Solution

The fourth proportional to 535.65, 739.15 and 296.33 is: 408.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.65 : 739.15 = 296.33 : x
  2. Step 2: Convert to fraction form
    535.65/739.15 = 296.33/x
  3. Step 3: Cross multiply
    535.65x = 739.15 × 296.33
  4. Step 4: Simplify right side
    535.65x = 219,027.14
  5. Step 5: Solve for x
    x = 219,027.14/535.65
  6. Step 6: Final answer
    x = 408.90

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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.