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Finding the Fourth Proportional to 336.69, 464.40 and 205.74

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Solution

The fourth proportional to 336.69, 464.40 and 205.74 is: 283.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.69 : 464.40 = 205.74 : x
  2. Step 2: Convert to fraction form
    336.69/464.40 = 205.74/x
  3. Step 3: Cross multiply
    336.69x = 464.40 × 205.74
  4. Step 4: Simplify right side
    336.69x = 95,545.66
  5. Step 5: Solve for x
    x = 95,545.66/336.69
  6. Step 6: Final answer
    x = 283.78

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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.