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Finding the Fourth Proportional to 512.25, 706.91 and 279.38

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Solution

The fourth proportional to 512.25, 706.91 and 279.38 is: 385.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.25 : 706.91 = 279.38 : x
  2. Step 2: Convert to fraction form
    512.25/706.91 = 279.38/x
  3. Step 3: Cross multiply
    512.25x = 706.91 × 279.38
  4. Step 4: Simplify right side
    512.25x = 197,491.58
  5. Step 5: Solve for x
    x = 197,491.58/512.25
  6. Step 6: Final answer
    x = 385.54

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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.