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Finding the Fourth Proportional to 512.31, 706.99 and 279.44

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Solution

The fourth proportional to 512.31, 706.99 and 279.44 is: 385.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.31 : 706.99 = 279.44 : x
  2. Step 2: Convert to fraction form
    512.31/706.99 = 279.44/x
  3. Step 3: Cross multiply
    512.31x = 706.99 × 279.44
  4. Step 4: Simplify right side
    512.31x = 197,561.29
  5. Step 5: Solve for x
    x = 197,561.29/512.31
  6. Step 6: Final answer
    x = 385.63

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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.