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Finding the Fourth Proportional to 416.99, 575.69 and 299.21

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Solution

The fourth proportional to 416.99, 575.69 and 299.21 is: 413.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.99 : 575.69 = 299.21 : x
  2. Step 2: Convert to fraction form
    416.99/575.69 = 299.21/x
  3. Step 3: Cross multiply
    416.99x = 575.69 × 299.21
  4. Step 4: Simplify right side
    416.99x = 172,247.83
  5. Step 5: Solve for x
    x = 172,247.83/416.99
  6. Step 6: Final answer
    x = 413.08

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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.