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Finding the Fourth Proportional to 362.39, 499.98 and 205.00

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Solution

The fourth proportional to 362.39, 499.98 and 205.00 is: 282.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.39 : 499.98 = 205.00 : x
  2. Step 2: Convert to fraction form
    362.39/499.98 = 205.00/x
  3. Step 3: Cross multiply
    362.39x = 499.98 × 205.00
  4. Step 4: Simplify right side
    362.39x = 102,493.40
  5. Step 5: Solve for x
    x = 102,493.40/362.39
  6. Step 6: Final answer
    x = 282.83

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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.