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Finding the Fourth Proportional to 336.80, 506.16 and 200.12

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Solution

The fourth proportional to 336.80, 506.16 and 200.12 is: 300.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.80 : 506.16 = 200.12 : x
  2. Step 2: Convert to fraction form
    336.80/506.16 = 200.12/x
  3. Step 3: Cross multiply
    336.80x = 506.16 × 200.12
  4. Step 4: Simplify right side
    336.80x = 101,292.74
  5. Step 5: Solve for x
    x = 101,292.74/336.80
  6. Step 6: Final answer
    x = 300.75

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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.