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Finding the Fourth Proportional to 446.40, 668.34 and 336.15

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Solution

The fourth proportional to 446.40, 668.34 and 336.15 is: 503.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.40 : 668.34 = 336.15 : x
  2. Step 2: Convert to fraction form
    446.40/668.34 = 336.15/x
  3. Step 3: Cross multiply
    446.40x = 668.34 × 336.15
  4. Step 4: Simplify right side
    446.40x = 224,662.49
  5. Step 5: Solve for x
    x = 224,662.49/446.40
  6. Step 6: Final answer
    x = 503.28

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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.