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Finding the Fourth Proportional to 416.26, 574.59 and 299.89

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Solution

The fourth proportional to 416.26, 574.59 and 299.89 is: 413.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.26 : 574.59 = 299.89 : x
  2. Step 2: Convert to fraction form
    416.26/574.59 = 299.89/x
  3. Step 3: Cross multiply
    416.26x = 574.59 × 299.89
  4. Step 4: Simplify right side
    416.26x = 172,313.80
  5. Step 5: Solve for x
    x = 172,313.80/416.26
  6. Step 6: Final answer
    x = 413.96

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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.