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Finding the Fourth Proportional to 484.33, 667.94 and 360.30

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Solution

The fourth proportional to 484.33, 667.94 and 360.30 is: 496.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.33 : 667.94 = 360.30 : x
  2. Step 2: Convert to fraction form
    484.33/667.94 = 360.30/x
  3. Step 3: Cross multiply
    484.33x = 667.94 × 360.30
  4. Step 4: Simplify right side
    484.33x = 240,658.78
  5. Step 5: Solve for x
    x = 240,658.78/484.33
  6. Step 6: Final answer
    x = 496.89

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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.