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Finding the Fourth Proportional to 362.82, 496.25 and 357.15

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Solution

The fourth proportional to 362.82, 496.25 and 357.15 is: 488.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.82 : 496.25 = 357.15 : x
  2. Step 2: Convert to fraction form
    362.82/496.25 = 357.15/x
  3. Step 3: Cross multiply
    362.82x = 496.25 × 357.15
  4. Step 4: Simplify right side
    362.82x = 177,233.90
  5. Step 5: Solve for x
    x = 177,233.90/362.82
  6. Step 6: Final answer
    x = 488.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.