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Finding the Fourth Proportional to 259.82, 388.82 and 213

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Solution

The fourth proportional to 259.82, 388.82 and 213 is: 318.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.82 : 388.82 = 213 : x
  2. Step 2: Convert to fraction form
    259.82/388.82 = 213/x
  3. Step 3: Cross multiply
    259.82x = 388.82 × 213
  4. Step 4: Simplify right side
    259.82x = 82,817.60
  5. Step 5: Solve for x
    x = 82,817.60/259.82
  6. Step 6: Final answer
    x = 318.76

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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.