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Finding the Fourth Proportional to 431.97, 596.13 and 245.49

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Solution

The fourth proportional to 431.97, 596.13 and 245.49 is: 338.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.97 : 596.13 = 245.49 : x
  2. Step 2: Convert to fraction form
    431.97/596.13 = 245.49/x
  3. Step 3: Cross multiply
    431.97x = 596.13 × 245.49
  4. Step 4: Simplify right side
    431.97x = 146,343.95
  5. Step 5: Solve for x
    x = 146,343.95/431.97
  6. Step 6: Final answer
    x = 338.78

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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.