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Finding the Fourth Proportional to 259.09, 388.42 and 187

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Solution

The fourth proportional to 259.09, 388.42 and 187 is: 280.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.09 : 388.42 = 187 : x
  2. Step 2: Convert to fraction form
    259.09/388.42 = 187/x
  3. Step 3: Cross multiply
    259.09x = 388.42 × 187
  4. Step 4: Simplify right side
    259.09x = 72,634.54
  5. Step 5: Solve for x
    x = 72,634.54/259.09
  6. Step 6: Final answer
    x = 280.34

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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.