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Finding the Fourth Proportional to 252.40, 378.33 and 206.95

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Solution

The fourth proportional to 252.40, 378.33 and 206.95 is: 310.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.40 : 378.33 = 206.95 : x
  2. Step 2: Convert to fraction form
    252.40/378.33 = 206.95/x
  3. Step 3: Cross multiply
    252.40x = 378.33 × 206.95
  4. Step 4: Simplify right side
    252.40x = 78,295.39
  5. Step 5: Solve for x
    x = 78,295.39/252.40
  6. Step 6: Final answer
    x = 310.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.