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Finding the Fourth Proportional to 336.89, 464.96 and 204.21

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Solution

The fourth proportional to 336.89, 464.96 and 204.21 is: 281.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.89 : 464.96 = 204.21 : x
  2. Step 2: Convert to fraction form
    336.89/464.96 = 204.21/x
  3. Step 3: Cross multiply
    336.89x = 464.96 × 204.21
  4. Step 4: Simplify right side
    336.89x = 94,948.46
  5. Step 5: Solve for x
    x = 94,948.46/336.89
  6. Step 6: Final answer
    x = 281.84

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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.