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Finding the Fourth Proportional to 493.22, 739.83 and 302.42

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Solution

The fourth proportional to 493.22, 739.83 and 302.42 is: 453.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.22 : 739.83 = 302.42 : x
  2. Step 2: Convert to fraction form
    493.22/739.83 = 302.42/x
  3. Step 3: Cross multiply
    493.22x = 739.83 × 302.42
  4. Step 4: Simplify right side
    493.22x = 223,739.39
  5. Step 5: Solve for x
    x = 223,739.39/493.22
  6. Step 6: Final answer
    x = 453.63

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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.