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Finding the Fourth Proportional to 535.26, 738.54 and 339.06

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Solution

The fourth proportional to 535.26, 738.54 and 339.06 is: 467.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.26 : 738.54 = 339.06 : x
  2. Step 2: Convert to fraction form
    535.26/738.54 = 339.06/x
  3. Step 3: Cross multiply
    535.26x = 738.54 × 339.06
  4. Step 4: Simplify right side
    535.26x = 250,409.37
  5. Step 5: Solve for x
    x = 250,409.37/535.26
  6. Step 6: Final answer
    x = 467.83

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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.