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Finding the Fourth Proportional to 447.13, 616.30 and 299.71

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Solution

The fourth proportional to 447.13, 616.30 and 299.71 is: 413.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.13 : 616.30 = 299.71 : x
  2. Step 2: Convert to fraction form
    447.13/616.30 = 299.71/x
  3. Step 3: Cross multiply
    447.13x = 616.30 × 299.71
  4. Step 4: Simplify right side
    447.13x = 184,711.27
  5. Step 5: Solve for x
    x = 184,711.27/447.13
  6. Step 6: Final answer
    x = 413.10

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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.