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Finding the Fourth Proportional to 259.17, 356.43 and 206.09

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Solution

The fourth proportional to 259.17, 356.43 and 206.09 is: 283.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.17 : 356.43 = 206.09 : x
  2. Step 2: Convert to fraction form
    259.17/356.43 = 206.09/x
  3. Step 3: Cross multiply
    259.17x = 356.43 × 206.09
  4. Step 4: Simplify right side
    259.17x = 73,455.99
  5. Step 5: Solve for x
    x = 73,455.99/259.17
  6. Step 6: Final answer
    x = 283.43

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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.