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Finding the Fourth Proportional to 446.80, 616.48 and 349.30

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Solution

The fourth proportional to 446.80, 616.48 and 349.30 is: 481.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.80 : 616.48 = 349.30 : x
  2. Step 2: Convert to fraction form
    446.80/616.48 = 349.30/x
  3. Step 3: Cross multiply
    446.80x = 616.48 × 349.30
  4. Step 4: Simplify right side
    446.80x = 215,336.46
  5. Step 5: Solve for x
    x = 215,336.46/446.80
  6. Step 6: Final answer
    x = 481.95

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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.