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Finding the Fourth Proportional to 447.11, 617 and 260.61

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Solution

The fourth proportional to 447.11, 617 and 260.61 is: 359.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.11 : 617 = 260.61 : x
  2. Step 2: Convert to fraction form
    447.11/617 = 260.61/x
  3. Step 3: Cross multiply
    447.11x = 617 × 260.61
  4. Step 4: Simplify right side
    447.11x = 160,796.37
  5. Step 5: Solve for x
    x = 160,796.37/447.11
  6. Step 6: Final answer
    x = 359.63

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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.