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Finding the Fourth Proportional to 495.50, 683.80 and 299.02

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Solution

The fourth proportional to 495.50, 683.80 and 299.02 is: 412.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.50 : 683.80 = 299.02 : x
  2. Step 2: Convert to fraction form
    495.50/683.80 = 299.02/x
  3. Step 3: Cross multiply
    495.50x = 683.80 × 299.02
  4. Step 4: Simplify right side
    495.50x = 204,469.88
  5. Step 5: Solve for x
    x = 204,469.88/495.50
  6. Step 6: Final answer
    x = 412.65

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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.