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Finding the Fourth Proportional to 336.83, 464.86 and 204.05

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Solution

The fourth proportional to 336.83, 464.86 and 204.05 is: 281.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.83 : 464.86 = 204.05 : x
  2. Step 2: Convert to fraction form
    336.83/464.86 = 204.05/x
  3. Step 3: Cross multiply
    336.83x = 464.86 × 204.05
  4. Step 4: Simplify right side
    336.83x = 94,855.69
  5. Step 5: Solve for x
    x = 94,855.69/336.83
  6. Step 6: Final answer
    x = 281.61

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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.