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Finding the Fourth Proportional to 476.75, 658.22 and 299.96

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Solution

The fourth proportional to 476.75, 658.22 and 299.96 is: 414.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.75 : 658.22 = 299.96 : x
  2. Step 2: Convert to fraction form
    476.75/658.22 = 299.96/x
  3. Step 3: Cross multiply
    476.75x = 658.22 × 299.96
  4. Step 4: Simplify right side
    476.75x = 197,436.38
  5. Step 5: Solve for x
    x = 197,436.38/476.75
  6. Step 6: Final answer
    x = 414.13

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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.