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Finding the Fourth Proportional to 417.22, 576 and 323.76

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Solution

The fourth proportional to 417.22, 576 and 323.76 is: 446.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.22 : 576 = 323.76 : x
  2. Step 2: Convert to fraction form
    417.22/576 = 323.76/x
  3. Step 3: Cross multiply
    417.22x = 576 × 323.76
  4. Step 4: Simplify right side
    417.22x = 186,485.76
  5. Step 5: Solve for x
    x = 186,485.76/417.22
  6. Step 6: Final answer
    x = 446.97

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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.