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Finding the Fourth Proportional to 362.19, 499.87 and 204.85

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Solution

The fourth proportional to 362.19, 499.87 and 204.85 is: 282.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.19 : 499.87 = 204.85 : x
  2. Step 2: Convert to fraction form
    362.19/499.87 = 204.85/x
  3. Step 3: Cross multiply
    362.19x = 499.87 × 204.85
  4. Step 4: Simplify right side
    362.19x = 102,398.37
  5. Step 5: Solve for x
    x = 102,398.37/362.19
  6. Step 6: Final answer
    x = 282.72

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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.