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Finding the Fourth Proportional to 534.96, 738.38 and 338.58

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Solution

The fourth proportional to 534.96, 738.38 and 338.58 is: 467.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.96 : 738.38 = 338.58 : x
  2. Step 2: Convert to fraction form
    534.96/738.38 = 338.58/x
  3. Step 3: Cross multiply
    534.96x = 738.38 × 338.58
  4. Step 4: Simplify right side
    534.96x = 250,001.55
  5. Step 5: Solve for x
    x = 250,001.55/534.96
  6. Step 6: Final answer
    x = 467.33

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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.