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Finding the Fourth Proportional to 523.21, 721.79 and 302.11

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Solution

The fourth proportional to 523.21, 721.79 and 302.11 is: 416.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.21 : 721.79 = 302.11 : x
  2. Step 2: Convert to fraction form
    523.21/721.79 = 302.11/x
  3. Step 3: Cross multiply
    523.21x = 721.79 × 302.11
  4. Step 4: Simplify right side
    523.21x = 218,063.55
  5. Step 5: Solve for x
    x = 218,063.55/523.21
  6. Step 6: Final answer
    x = 416.78

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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.