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Finding the Fourth Proportional to 290.46, 400.71 and 206.55

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Solution

The fourth proportional to 290.46, 400.71 and 206.55 is: 284.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.46 : 400.71 = 206.55 : x
  2. Step 2: Convert to fraction form
    290.46/400.71 = 206.55/x
  3. Step 3: Cross multiply
    290.46x = 400.71 × 206.55
  4. Step 4: Simplify right side
    290.46x = 82,766.65
  5. Step 5: Solve for x
    x = 82,766.65/290.46
  6. Step 6: Final answer
    x = 284.95

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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.