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Finding the Fourth Proportional to 336.81, 464.90 and 206.06

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Solution

The fourth proportional to 336.81, 464.90 and 206.06 is: 284.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.81 : 464.90 = 206.06 : x
  2. Step 2: Convert to fraction form
    336.81/464.90 = 206.06/x
  3. Step 3: Cross multiply
    336.81x = 464.90 × 206.06
  4. Step 4: Simplify right side
    336.81x = 95,797.29
  5. Step 5: Solve for x
    x = 95,797.29/336.81
  6. Step 6: Final answer
    x = 284.43

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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.