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Finding the Fourth Proportional to 360.55, 496.56 and 335.04

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Solution

The fourth proportional to 360.55, 496.56 and 335.04 is: 461.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.55 : 496.56 = 335.04 : x
  2. Step 2: Convert to fraction form
    360.55/496.56 = 335.04/x
  3. Step 3: Cross multiply
    360.55x = 496.56 × 335.04
  4. Step 4: Simplify right side
    360.55x = 166,363.30
  5. Step 5: Solve for x
    x = 166,363.30/360.55
  6. Step 6: Final answer
    x = 461.42

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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.