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Finding the Fourth Proportional to 484.34, 667.94 and 360.31

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Solution

The fourth proportional to 484.34, 667.94 and 360.31 is: 496.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.34 : 667.94 = 360.31 : x
  2. Step 2: Convert to fraction form
    484.34/667.94 = 360.31/x
  3. Step 3: Cross multiply
    484.34x = 667.94 × 360.31
  4. Step 4: Simplify right side
    484.34x = 240,662.12
  5. Step 5: Solve for x
    x = 240,662.12/484.34
  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.