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Finding the Fourth Proportional to 534.95, 738.69 and 338.81

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Solution

The fourth proportional to 534.95, 738.69 and 338.81 is: 467.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.95 : 738.69 = 338.81 : x
  2. Step 2: Convert to fraction form
    534.95/738.69 = 338.81/x
  3. Step 3: Cross multiply
    534.95x = 738.69 × 338.81
  4. Step 4: Simplify right side
    534.95x = 250,275.56
  5. Step 5: Solve for x
    x = 250,275.56/534.95
  6. Step 6: Final answer
    x = 467.85

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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.