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Finding the Fourth Proportional to 416, 623.80 and 199.68

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Solution

The fourth proportional to 416, 623.80 and 199.68 is: 299.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    416 : 623.80 = 199.68 : x
  2. Step 2: Convert to fraction form
    416/623.80 = 199.68/x
  3. Step 3: Cross multiply
    416x = 623.80 × 199.68
  4. Step 4: Simplify right side
    416x = 124,560.38
  5. Step 5: Solve for x
    x = 124,560.38/416
  6. Step 6: Final answer
    x = 299.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.