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Finding the Fourth Proportional to 447.50, 617.22 and 299.87

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Solution

The fourth proportional to 447.50, 617.22 and 299.87 is: 413.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.50 : 617.22 = 299.87 : x
  2. Step 2: Convert to fraction form
    447.50/617.22 = 299.87/x
  3. Step 3: Cross multiply
    447.50x = 617.22 × 299.87
  4. Step 4: Simplify right side
    447.50x = 185,085.76
  5. Step 5: Solve for x
    x = 185,085.76/447.50
  6. Step 6: Final answer
    x = 413.60

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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.