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Finding the Fourth Proportional to 336.79, 464.79 and 205.84

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Solution

The fourth proportional to 336.79, 464.79 and 205.84 is: 284.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.79 : 464.79 = 205.84 : x
  2. Step 2: Convert to fraction form
    336.79/464.79 = 205.84/x
  3. Step 3: Cross multiply
    336.79x = 464.79 × 205.84
  4. Step 4: Simplify right side
    336.79x = 95,672.37
  5. Step 5: Solve for x
    x = 95,672.37/336.79
  6. Step 6: Final answer
    x = 284.07

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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.