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Finding the Fourth Proportional to 493.22, 738.09 and 362.91

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Solution

The fourth proportional to 493.22, 738.09 and 362.91 is: 543.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.22 : 738.09 = 362.91 : x
  2. Step 2: Convert to fraction form
    493.22/738.09 = 362.91/x
  3. Step 3: Cross multiply
    493.22x = 738.09 × 362.91
  4. Step 4: Simplify right side
    493.22x = 267,861.99
  5. Step 5: Solve for x
    x = 267,861.99/493.22
  6. Step 6: Final answer
    x = 543.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.