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Finding the Fourth Proportional to 446.39, 668.19 and 308.63

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Solution

The fourth proportional to 446.39, 668.19 and 308.63 is: 461.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.39 : 668.19 = 308.63 : x
  2. Step 2: Convert to fraction form
    446.39/668.19 = 308.63/x
  3. Step 3: Cross multiply
    446.39x = 668.19 × 308.63
  4. Step 4: Simplify right side
    446.39x = 206,223.48
  5. Step 5: Solve for x
    x = 206,223.48/446.39
  6. Step 6: Final answer
    x = 461.98

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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.