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Finding the Fourth Proportional to 259.48, 388.54 and 137.38

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Solution

The fourth proportional to 259.48, 388.54 and 137.38 is: 205.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.48 : 388.54 = 137.38 : x
  2. Step 2: Convert to fraction form
    259.48/388.54 = 137.38/x
  3. Step 3: Cross multiply
    259.48x = 388.54 × 137.38
  4. Step 4: Simplify right side
    259.48x = 53,377.63
  5. Step 5: Solve for x
    x = 53,377.63/259.48
  6. Step 6: Final answer
    x = 205.71

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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.