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Finding the Fourth Proportional to 447.22, 617.02 and 260.71

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Solution

The fourth proportional to 447.22, 617.02 and 260.71 is: 359.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.22 : 617.02 = 260.71 : x
  2. Step 2: Convert to fraction form
    447.22/617.02 = 260.71/x
  3. Step 3: Cross multiply
    447.22x = 617.02 × 260.71
  4. Step 4: Simplify right side
    447.22x = 160,863.28
  5. Step 5: Solve for x
    x = 160,863.28/447.22
  6. Step 6: Final answer
    x = 359.70

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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.