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Finding the Fourth Proportional to 535.41, 738.05 and 338.85

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Solution

The fourth proportional to 535.41, 738.05 and 338.85 is: 467.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.41 : 738.05 = 338.85 : x
  2. Step 2: Convert to fraction form
    535.41/738.05 = 338.85/x
  3. Step 3: Cross multiply
    535.41x = 738.05 × 338.85
  4. Step 4: Simplify right side
    535.41x = 250,086.55
  5. Step 5: Solve for x
    x = 250,086.55/535.41
  6. Step 6: Final answer
    x = 467.09

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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.