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Finding the Fourth Proportional to 431.82, 596.21 and 338.49

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Solution

The fourth proportional to 431.82, 596.21 and 338.49 is: 467.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.82 : 596.21 = 338.49 : x
  2. Step 2: Convert to fraction form
    431.82/596.21 = 338.49/x
  3. Step 3: Cross multiply
    431.82x = 596.21 × 338.49
  4. Step 4: Simplify right side
    431.82x = 201,809.43
  5. Step 5: Solve for x
    x = 201,809.43/431.82
  6. Step 6: Final answer
    x = 467.35

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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.