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Finding the Fourth Proportional to 447.39, 616.77 and 299.79

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Solution

The fourth proportional to 447.39, 616.77 and 299.79 is: 413.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.39 : 616.77 = 299.79 : x
  2. Step 2: Convert to fraction form
    447.39/616.77 = 299.79/x
  3. Step 3: Cross multiply
    447.39x = 616.77 × 299.79
  4. Step 4: Simplify right side
    447.39x = 184,901.48
  5. Step 5: Solve for x
    x = 184,901.48/447.39
  6. Step 6: Final answer
    x = 413.29

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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.