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Finding the Fourth Proportional to 259.36, 388.92 and 211.12

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Solution

The fourth proportional to 259.36, 388.92 and 211.12 is: 316.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.36 : 388.92 = 211.12 : x
  2. Step 2: Convert to fraction form
    259.36/388.92 = 211.12/x
  3. Step 3: Cross multiply
    259.36x = 388.92 × 211.12
  4. Step 4: Simplify right side
    259.36x = 82,108.79
  5. Step 5: Solve for x
    x = 82,108.79/259.36
  6. Step 6: Final answer
    x = 316.58

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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.