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Finding the Fourth Proportional to 535.25, 738.61 and 299.19

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Solution

The fourth proportional to 535.25, 738.61 and 299.19 is: 412.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.25 : 738.61 = 299.19 : x
  2. Step 2: Convert to fraction form
    535.25/738.61 = 299.19/x
  3. Step 3: Cross multiply
    535.25x = 738.61 × 299.19
  4. Step 4: Simplify right side
    535.25x = 220,984.73
  5. Step 5: Solve for x
    x = 220,984.73/535.25
  6. Step 6: Final answer
    x = 412.86

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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.