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Finding the Fourth Proportional to 336.62, 504.77 and 199.63

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Solution

The fourth proportional to 336.62, 504.77 and 199.63 is: 299.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.62 : 504.77 = 199.63 : x
  2. Step 2: Convert to fraction form
    336.62/504.77 = 199.63/x
  3. Step 3: Cross multiply
    336.62x = 504.77 × 199.63
  4. Step 4: Simplify right side
    336.62x = 100,766.24
  5. Step 5: Solve for x
    x = 100,766.24/336.62
  6. Step 6: Final answer
    x = 299.35

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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.