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Finding the Fourth Proportional to 416.04, 624.26 and 199.56

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Solution

The fourth proportional to 416.04, 624.26 and 199.56 is: 299.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.04 : 624.26 = 199.56 : x
  2. Step 2: Convert to fraction form
    416.04/624.26 = 199.56/x
  3. Step 3: Cross multiply
    416.04x = 624.26 × 199.56
  4. Step 4: Simplify right side
    416.04x = 124,577.33
  5. Step 5: Solve for x
    x = 124,577.33/416.04
  6. Step 6: Final answer
    x = 299.44

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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.